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# An old man distributed all the gold coins he had to his two

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Manager
Joined: 11 Feb 2014
Posts: 66
An old man distributed all the gold coins he had to his two  [#permalink]

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22 Jun 2014, 11:12
1
00:00

Difficulty:

5% (low)

Question Stats:

94% (00:52) correct 6% (01:20) wrong based on 115 sessions

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An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 36 times the difference between the two numbers. How many coins did the old man have?

(A) 24
(B) 26
(C) 30
(D) 36
(E) 40

Source: Math Bible Nova
Math Expert
Joined: 02 Sep 2009
Posts: 47157
Re: An old man distributed all the gold coins he had to his two  [#permalink]

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22 Jun 2014, 11:27
Game wrote:
An old man distributed all the gold coins he had to his two sons into two different numbers such that the difference between the squares of the two numbers is 36 times the difference between the two numbers. How many coins did the old man have?

(A) 24
(B) 26
(C) 30
(D) 36
(E) 40

Source: Math Bible Nova

Let the number of coins one son got be x and the number of coins another got be y. Total = x + y.

x^2 - y^2 = 36(x - y) --> x + y = 36.

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Re: An old man distributed all the gold coins he had to his two  [#permalink]

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15 Jul 2014, 22:28
1
Let the coins distributed be x & y

We require to find x+y

$$x^2 - y^2 = 36 (x-y)$$

x+y = 36

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Manager
Joined: 21 Oct 2013
Posts: 189
Location: Germany
GMAT 1: 660 Q45 V36
GPA: 3.51
Re: An old man distributed all the gold coins he had to his two  [#permalink]

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28 Jul 2014, 03:57
Let No of coins be a & b respectively. Hence Total Number of coins = a+b.

Then: a²-b² = 36(a-b) --> (a-b)(a+b) = 36(a-b) --> a+b=36

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Joined: 15 Jan 2017
Posts: 361
Re: An old man distributed all the gold coins he had to his two  [#permalink]

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29 Aug 2017, 02:39
Just a thought - would such an easy/ quick question come in the quant part of the GMAT? (I was comparing to even some of the 500 level questions I was doing from the forum)..
Re: An old man distributed all the gold coins he had to his two &nbs [#permalink] 29 Aug 2017, 02:39
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