How Can I Switch the Numerator With the Numerato

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In a certain fraction, the denominator is xvi greater than the numerato [#permalink]   19 Jun 2018, 20:36

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In a sure fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to lxxx pct, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. 80

Eastward. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

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Re: In a certain fraction, the denominator is 16 greater than the numerato [#permalink]   19 Jun 2018, 22:13

Bunuel wrote:

In a certain fraction, the denominator is xvi greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. lxxx

Eastward. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

Diverse ways..

1) 80% means fourscore out of 100, and then here lxxx is 100-eighty=20 less than 100
But we are looking for 16 less...
Difference is twenty, denominator is 100..
So when difference is xvi, denominator will exist \(\frac{100}{20}*16=eighty\)

2) allow numerator be X, and then denominator will be Ten+sixteen
And then \(\frac{10}{Ten+16}=\frac{eighty}{100}....100X=80X+16*80....20X=xvi*80....X=16*4=64\)
Therefore X+16=64+16=80..

3) commutation
Substitute denominator as per the choices and meet what corresponds to 80%
Always better to start with Heart value and then that you minimize your task..
If C<80% check for D and E
If C>lxxx%, bank check for B and A
If C=fourscore% that is your reply
C. 72
Fraction = \(\frac{72-16}{72}=56/72=7/9 < 8/10\)
So check for D
D. eighty
(fourscore-xvi)/80=64/80=8/x.. Yes

D
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Re: In a certain fraction, the denominator is 16 greater than the numerato [#permalink]   19 Jun 2018, xx:55

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. 80

E. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

\(\frac{10}{x+sixteen}\) = \(\frac{eighty}{100}\) = 4/five

Cross Multiply to Get:
4x + 64 = 5x ---> x = 64

Denominator = x + 16 = 64 + xvi = 80

Answer: D
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In a certain fraction, the denominator is xvi greater than the numerato [#permalink]   nineteen Jun 2018, 22:xvi

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to eighty percentage, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. 80

E. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

Alternate approach

If denominator of fraction is 10, we can evaluate the respond options and check which
of the fractions yield fourscore% | For denominator 10 -> \(\frac{x-16}{x}\) must be equal to \(\frac{4}{5}\)

A. \(32 = \frac{32-16}{32} = \frac{16}{32} = \frac{i}{2}\)
B. \(64 = \frac{64-16}{64} = \frac{48}{64} = \frac{iii}{iv}\)
C. \(72 = \frac{72-16}{72} = \frac{56}{72} = \frac{7}{9}\)
D. \(80 = \frac{80-xvi}{eighty} = \frac{64}{lxxx} = \frac{4}{five}\)
E. \(120 = \frac{120-16}{120} = \frac{104}{120} = \frac{thirteen}{15}\)

Therefore, Pick D(lxxx) is the value for the denominator of the fraction
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Re: In a certain fraction, the denominator is sixteen greater than the numerato [#permalink]   20 Jun 2018, 07:58

nu is 10+xvi/10=iv/five (80%).
We go equation => five(x+16)=4x; 5x+80=4x; x=80
Promise it helps

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Re: In a certain fraction, the denominator is xvi greater than the numerato [#permalink]   20 Jun 2018, 10:12

x/x+16 = iv/v

in that location denominator has to be a multiple of 5. A,B, and C are out

when denominator is lxxx i.e. when the ratio 4/5 is multiplied by sixteen. Numerator volition become 64. therefor the ratio will be 64/lxxx

Satisfies the condition. hence answer is D
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Re: In a certain fraction, the denominator is 16 greater than the numerato [#permalink]   21 Jun 2018, fifteen:57

Bunuel wrote:

In a sure fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 pct, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. eighty

E. 120

We can create the equation:

n/(north + 16) = eight/ten

north/(n + 16) = 4/5

5n = 4n + 64

northward = 64

Thus, the denominator is 64 + sixteen = eighty.

Respond: D
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Re: In a sure fraction, the denominator is sixteen greater than the numerato [#permalink]   27 Jun 2018, 04:57

Bunuel wrote:

In a sure fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to fourscore percent, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. eighty

E. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

Let Northward = the numerator
Permit D = the denominator

...the denominator is 16 greater than the numerator.
Nosotros can write: D = North + 16

If the fraction is equivalent to 80 per centum...
Nosotros tin write: Northward/D = 80/100
Simplify to become: N/D = 4/5
Cantankerous multiply to get: 5N = 4D

...what is the denominator of the fraction?
We at present take the post-obit system of equations
D = N + 16
5N = 4D

Take the top equation, and solve for N to become: N = D - 16
Now have the bottom equation and replace North with D - xvi to get: 5(D - 16) = 4D
Expand: 5D - 80 = 4D
Solve: D = lxxx

Respond: D

Thank you,
Brent
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Re: In a certain fraction, the denominator is 16 greater than the numerato [#permalink]   26 Jan 2019, 16:42

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percent, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. 80

E. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

What are we solving for: The value of the Denominator
Value for Numerator: (due north)
Value for Denominator: (n+16)

(n)/(n+16) = 80/100
(north)/(northward+xvi) = 4/5
5n = 4(n+16)
5n = 4n + 64
n = 64

(64+ 16) = 80

Answer is D

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Re: In a certain fraction, the denominator is sixteen greater than the numerato [#permalink]   14 February 2019, 23:46

Bunuel wrote:

In a certain fraction, the denominator is 16 greater than the numerator. If the fraction is equivalent to 80 percentage, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. 80

E. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

Let numerator be x
denominator = x + xvi

x/x+16 = four/5
5x -4x = 64
x = 64

Denominator = 80

D
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In a certain fraction, the denominator is xvi greater than the numerato [#permalink]   04 Aug 2019, 07:38

lets try less math and more logic!

We know lxxx% = 4/5 --> the deviation between denominator and numerator is i.
We are said that the difference is sixteen.
So, if 1 is to 16,
Then 5 is to lxxx. Or,
i/16 = 5/x
x = fourscore

Happy studying.

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Re: In a sure fraction, the denominator is sixteen greater than the numerato [#permalink]   02 Jul 2020, 06:37

This is a general issue that became credible in this trouble for me, merely I just spent WAY TOO LONG on this trouble considering no matter how many times I read and re-read the question, my encephalon kept inserting "xvi times greater" into the problem instead of the "16 greater". And the matter is, this is the second time I'thousand doing this trouble. I did this trouble in a first circular of studying months agone and I did the SAME Exact THING. Does anyone have any tips on how to just read the damn question correctly? It'southward insane. Re-reading and reading slowly don't seem to work.

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In a certain fraction, the denominator is 16 greater than the numerato [#permalink]   Updated on: 09 May 2021, 06:01

sydlyisaacs wrote:

This is a general issue that became apparent in this problem for me, but I just spent Mode Besides LONG on this trouble because no thing how many times I read and re-read the question, my brain kept inserting "sixteen times greater" into the trouble instead of the "sixteen greater". And the thing is, this is the second time I'm doing this problem. I did this problem in a commencement round of studying months ago and I did the Aforementioned Verbal Matter. Does anyone have any tips on how to just read the damn question correctly? It'southward insane. Re-reading and reading slowly don't seem to work.

Y'all have already highlighted the pattern to your trouble. If I were you, I would finish each time I run across something similar 'X is 5 greater than Y'
or something similar. One more than thing, try converting words into equation and that should assistance.
50 is ten times five.
=>l =(is) ten X(times) 5.
+>50 = 10X5.
Similarly, 10 is 5 greater than five.
10 = v + five
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Originally posted by errorlogger on 17 Mar 2021, xiii:31.
Last edited by errorlogger on 09 May 2021, 06:01, edited 1 time in full.

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Re: In a certain fraction, the denominator is xvi greater than the numerato [#permalink]   09 May 2021, 05:45

Bunuel wrote:

In a certain fraction, the denominator is sixteen greater than the numerator. If the fraction is equivalent to eighty percent, what is the denominator of the fraction?

A. 32

B. 64

C. 72

D. eighty

East. 120

NEW question from GMAT® Official Guide 2019

(PS00907)

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Re: In a certain fraction, the denominator is xvi greater than the numerato [#permalink]   24 May 2021, 03:36

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Re: In a certain fraction, the denominator is xvi greater than the numerato [#permalink]

24 May 2021, 03:36

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