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# If x and z are positive integers and xz = 24 what is the ratio of x to

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
If x and z are positive integers and xz = 24 what is the ratio of x to  [#permalink]

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22 Jan 2018, 23:29
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Difficulty:

55% (hard)

Question Stats:

59% (01:33) correct 41% (01:18) wrong based on 49 sessions

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If x and z are positive integers and xz = 24 what is the ratio of x to z?

(1) x – z = 5
(2) x + z = 11

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Re: If x and z are positive integers and xz = 24 what is the ratio of x to  [#permalink]

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22 Jan 2018, 23:42
1
A

From question stem we can conclude,

x=1 and z=24 or x=2 and z=12 or x=3 and z=8 or x=4 and z=6

or the converse

x=24 and z=1 or x=12 and z=2 or x=8 and z=3 or x=6 and z=4

From statement 1 we can say only x=8 and z=3 combo holds good. Hence sufficient

From statement 2 there are two possibilities. x=8 and z=3 or x=3 and z=8. Hence insufficient
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Re: If x and z are positive integers and xz = 24 what is the ratio of x to   [#permalink] 22 Jan 2018, 23:42
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