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If the difference between two positive numbers is 22 and the

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Manager
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Joined: 18 Jul 2019
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If the difference between two positive numbers is 22 and the  [#permalink]

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New post 25 Nov 2019, 04:35
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A
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C
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  45% (medium)

Question Stats:

70% (03:29) correct 30% (02:52) wrong based on 23 sessions

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If the difference between two positive numbers is 22 and the difference of their squares is 1100, find the difference between their cubes.

a) 38792
b) 42816
c) 43912
d) 44128
e) 45916
Manager
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Joined: 16 Feb 2015
Posts: 130
Location: United States
Concentration: Finance, Operations
Schools: INSEAD, ISB
If the difference between two positive numbers is 22 and the  [#permalink]

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New post 25 Nov 2019, 04:48
1
CaptainLevi wrote:
If the difference between two positive numbers is 22 and the difference of their squares is 1100, find the difference between their cubes.

a) 38792
b) 42816
c) 43912
d) 44128
e) 45916


Explanation:
x-y=22... Eqn 1
x^2 - y^2 = 1100
(x+y)(x-y) -= 1100 (Putting value of x-y)
therefore, x+y = 50... Eqn 2

Solving eqn 1 & 2, We get values of x & y.
x=36, y=14
Now , We need x^3 - y^3 = 43912.
Answer is C


:please Please give kudos, if you find my explanation good enough :please
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Joined: 30 Aug 2019
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Re: If the difference between two positive numbers is 22 and the  [#permalink]

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New post 25 Nov 2019, 23:21
1
this is a very lengthy way to solve this que can anyone suggest a simpler solution
GMAT Club Bot
Re: If the difference between two positive numbers is 22 and the   [#permalink] 25 Nov 2019, 23:21
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If the difference between two positive numbers is 22 and the

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