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

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Manager
Status: I am not a product of my circumstances. I am a product of my decisions
Joined: 20 Jan 2013
Posts: 117
Location: India
Concentration: Operations, General Management
GPA: 3.92
WE: Operations (Energy and Utilities)
Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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06 Nov 2014, 20:07
2
1
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:58) correct 28% (02:55) wrong based on 97 sessions

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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
Math Expert
Joined: 02 Sep 2009
Posts: 51301
Re: Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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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.

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

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

5

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

6*1 = 2*3

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Joined: 05 Sep 2013
Posts: 9
Location: Georgia
Four different numbers are obtained by decreasing a number by 4, decre  [#permalink]

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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

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

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