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# If one number exceeds another number by 13 and the larger number is 3/

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Math Expert
Joined: 02 Sep 2009
Posts: 58340
If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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08 Jun 2018, 11:48
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Difficulty:

15% (low)

Question Stats:

90% (01:07) correct 10% (01:09) wrong based on 40 sessions

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If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is

A. 13
B. 26
C. 31
D. 39
E. 65

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Intern
Joined: 22 May 2018
Posts: 35
WE: Project Management (Energy and Utilities)
Re: If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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08 Jun 2018, 12:06
Bunuel wrote:
If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is

A. 13
B. 26
C. 31
D. 39
E. 65
Smaller number is 3/2 times the smaller number--> smaller number has 2 as a factor and larger number is multiple of 3 and difference of both is 13
Therefore: smaller number is (13*2)=26 and larger number is (13*3)= 39

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Intern
Joined: 01 Jan 2018
Posts: 43
Re: If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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08 Jun 2018, 12:14
Let the larger number be X and smaller number be Y.
Given: X = Y + 13
and X = 3/2Y -> 1.5Y

sub this value in 1st euqation.
1.5 Y = Y + 13 -> 0.5 Y = 13 -> y = 26

Option B.
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3074
Re: If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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08 Jun 2018, 12:22

Solution

Given:
• One number exceeds another number by 13
• Larger number is $$\frac{3}{2}$$ time the smaller number

To find:
• The value of the smaller number

Approach and Working:
If we assume the smaller number to be n,
• Then the larger number = $$\frac{3n}{2}$$

As the larger number is 13 more than the smaller number, we can say
• $$\frac{3n}{2} – n = 13$$
Or, $$\frac{n}{2} = 13$$
Or, n = 26

Hence, the correct answer is option B.

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Joined: 31 Oct 2013
Posts: 1471
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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10 Jun 2018, 11:31
Bunuel wrote:
If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is

A. 13
B. 26
C. 31
D. 39
E. 65

Let the smaller number be x
so, larger no will be x+13

Translate the question we can form an equation:

x+13 = (3/2)x
2x+26=3x
x=26.

Thus the correct answer is Option B.
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Joined: 31 Jan 2017
Posts: 8
Re: If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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11 Jun 2018, 18:47
Bunuel wrote:
If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is

A. 13
B. 26
C. 31
D. 39
E. 65

Translate:

y = x + 13 & y = (3/2)(x)

Solve:

(3/2)x = x + 13
3x = 2x + 26
x = 26

Director
Joined: 09 Mar 2018
Posts: 996
Location: India
Re: If one number exceeds another number by 13 and the larger number is 3/  [#permalink]

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06 Feb 2019, 22:30
Bunuel wrote:
If one number exceeds another number by 13 and the larger number is 3/2 times the smaller number, then the smaller number is

A. 13
B. 26
C. 31
D. 39
E. 65

Keyword : exceeds another number by 13

x greater number, y smaller number

x = y +13

x = 3/2 y

Putting back the value => 3/2 y - y = 13

y = 26

B
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Re: If one number exceeds another number by 13 and the larger number is 3/   [#permalink] 06 Feb 2019, 22:30
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