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# If x and y are positive integers, what is the value of x?

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Manager
Joined: 12 Oct 2008
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If x and y are positive integers, what is the value of x? [#permalink]

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16 Oct 2008, 07:58
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If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

Kudos [?]: 10 [0], given: 0

Director
Joined: 12 Jul 2008
Posts: 514

Kudos [?]: 162 [0], given: 0

Schools: Wharton

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16 Oct 2008, 08:06
linau1982 wrote:
If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

(1) Sufficient

1125 = 125*9 = (3^2)*(5^3)
x = 2

(2) Insufficient

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Manager
Joined: 15 Apr 2008
Posts: 164

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16 Oct 2008, 10:33
linau1982 wrote:
If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

statement 1: if you factorize 1125, you will get 5^3 * 3^2
so you know X=2. hence sufficient

statement 2 : gives only value of Y, hence insufficient

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Intern
Joined: 29 Aug 2008
Posts: 8

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16 Oct 2008, 11:12
Its D

1. Sufficient coz 3^2 * 5^3 = 1125

2. Sufficient coz 3^x * 5^3 = 1125

3^x = 9

so x = 2

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Manager
Joined: 15 Apr 2008
Posts: 164

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16 Oct 2008, 11:39
dbaner1 wrote:
Its D

1. Sufficient coz 3^2 * 5^3 = 1125

2. Sufficient coz 3^x * 5^3 = 1125

3^x = 9

so x = 2

how did you get D

statement 2: gives only y=3
why are you taking the equation from the first statement.
answer D wud mean that both the statements alone is sufficient to give the value of X.

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Senior Manager
Joined: 21 Apr 2008
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Location: Motortown

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16 Oct 2008, 17:26
ALD wrote:
linau1982 wrote:
If x and y are positive integers, what is the value of x?
(1) 3^x*5^y = 1,125 (3 power of x times 5 power of y)
(2) y = 3

statement 1: if you factorize 1125, you will get 5^3 * 3^2
so you know X=2. hence sufficient

statement 2 : gives only value of Y, hence insufficient

agreed

Kudos [?]: 165 [0], given: 0

Re: DS   [#permalink] 16 Oct 2008, 17:26
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# If x and y are positive integers, what is the value of x?

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