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if a nad b are +ve integers, what isthe value of a+b? 1)

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Manager
Joined: 30 May 2003
Posts: 92
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if a nad b are +ve integers, what isthe value of a+b? 1) [#permalink]  23 Aug 2003, 12:16
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if a nad b are +ve integers, what isthe value of a+b?
1) a/b=5/8
2)The greatest common divisor of a and b is 1

What does "Greatest common divisor is 1 " imply???????
CEO
Joined: 15 Aug 2003
Posts: 3469
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Re: DS problem [#permalink]  23 Aug 2003, 12:59
aps_can wrote:
if a nad b are +ve integers, what isthe value of a+b?
1) a/b=5/8
2)The greatest common divisor of a and b is 1

What does "Greatest common divisor is 1 " imply???????

It means that the only common factor is 1.

from 1, we only know that ratio , not the numbers ..insufficient

from 2, we know that the greatest common divisor is 1...we can have for eg... 5 and 8, 5 and 9 ,5 and 11, 5 and 13 , 3 and 11...so insufficient

combine...the numbers can be
5 and 8 => G.C.D = 1
10 and 16 => G.C.D = 2
15 and 24 => G.C.D = 3
20 and 32 => G.C.D = 4

so on ...so we have only two numbers that satisfy the ratio condition and the G.C.D condition

Thanks
Praetorian
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DS [#permalink]  23 Aug 2003, 14:53
Right you are!
DS   [#permalink] 23 Aug 2003, 14:53
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