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

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

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New post 22 Jun 2014, 11:12
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Question Stats:

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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
[Reveal] Spoiler: OA

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

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New post 22 Jun 2014, 11:27
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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.

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

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

We require to find x+y

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

x+y = 36

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

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New post 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

Answer D.

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

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New post 30 Nov 2016, 06:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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

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New post 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)..

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Re: An old man distributed all the gold coins he had to his two   [#permalink] 29 Aug 2017, 02:39
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