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Four different numbers are obtained by decreasing a number by 4, decre

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Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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New post 06 Nov 2014, 20:07
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Question Stats:

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Four different numbers are obtained by decreasing a number by 4, decreasing it by 3, decreasing it by 2 and increasing it by 1. The resultant four numbers are such that the product of the first and the last is equal to the product of the second and the third numbers. Find the original number.

A) 5
B) 7
C) 9
D) 11
E) 13
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Re: Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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New post 07 Nov 2014, 03:14
1
Ashishmathew01081987 wrote:
Four different numbers are obtained by decreasing a number by 4, decreasing it by 3, decreasing it by 2 and increasing it by 1. The resultant four numbers are such that the product of the first and the last is equal to the product of the second and the third numbers. Find the original number.

A) 5
B) 7
C) 9
D) 11
E) 13


(x - 4)(x + 1) = (x - 3)(x - 2);

2x = 10;

x = 5.

Answer: A.
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Re: Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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New post 13 Nov 2014, 01:19
1
Took OA option 1st & wrote down the numbers

5

1 .......... 2 ......... 3 ............ 6

6*1 = 2*3

Answer = A
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Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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New post 13 Nov 2014, 03:09
1
(x-4)(x+1)=(x-3)(x-2)
x^2+x-4x-4=X^2-2x-3x-6
2x=10
x=5

answer : A
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Re: Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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New post 25 Jun 2018, 23:39
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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: Four different numbers are obtained by decreasing a number by 4, decre &nbs [#permalink] 25 Jun 2018, 23:39
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