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If a and b are positive integers, what is the value of a + b

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If a and b are positive integers, what is the value of a + b [#permalink] New post 16 May 2008, 15:59
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If a and b are positive integers, what is the value of a + b ?
(1) a/b=5/8
(2) The greatest common divisor of a and b is 1
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Re: DS-gcf [#permalink] New post 16 May 2008, 16:21
goalsnr wrote:
If a and b are positive integers, what is the value of a + b ?
(1) a/b=5/8
(2) The greatest common divisor of a and b is 1


statement 1 is not suff

statement 2 is not suff, but it says that a & b are not divisible by each other.

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Re: DS-gcf [#permalink] New post 16 May 2008, 16:23
1)
let a=5
let b=8

let a=10
let b=16

insufficient

2)
insufficient

1&2)
a and b must maintain the same ratio.

5*x/(8*x). The only value of x that will satisfy 2 is x=1. Therefore, a+b=5+8=13.
sufficient

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Re: DS-gcf [#permalink] New post 16 May 2008, 16:26
goalsnr wrote:
If a and b are positive integers, what is the value of a + b ?
(1) a/b=5/8
(2) The greatest common divisor of a and b is 1



C ?

1) a/b =5/8

a=5 ; b=8; a/b =5/8 ; a+b =13
a=10 ;b=16 ;a/b =5/8 ;a+b=26

insuff

2) insuff ...no information about values of a and b .

Together sufficient: if GCD of a and b is 1 , only possible values of a and b are 5 and 8 respectively, so a+b=13
Re: DS-gcf   [#permalink] 16 May 2008, 16:26
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