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If one number exceeds another number by 13 and the larger

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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 16527

GRE 1: Q160 V160

If one number exceeds another number by 13 and the larger [#permalink]

18 Jun 2018, 09:51

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Question Stats:

90% (00:48) correct

9% (01:32) wrong

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If one number exceeds another number by 13 and the larger number is \(\frac{3}{2}\) times the smaller number, then the smaller number is

A. 13

B. 26

C. 31

D. 39

E. 65

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msk0657

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Joined: 29 May 2018

Posts: 126

Re: If one number exceeds another number by 13 and the larger [#permalink]

28 Jun 2018, 12:08

Carcass wrote:

If one number exceeds another number by 13 and the larger number is \(\frac{3}{2}\) times the smaller number, then the smaller number is

A. 13

B. 26

C. 31

D. 39

E. 65

Let L be Larger one and S be shorter one.

Given L - S = 13 and also given that L = 3/2(S)

Sub this value in above equation.

3/2(S) - S = 13

=> S = 26.

B.