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# If 3x + 5y =100 and x and y are integers, what is the least

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VP
Joined: 30 Jun 2008
Posts: 1034

Kudos [?]: 705 [0], given: 1

If 3x + 5y =100 and x and y are integers, what is the least [#permalink]

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08 Oct 2008, 23:42
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If 3x + 5y =100 and x and y are integers, what is the least possible value of x?

1) x and y are both positive
2) the least possible integral value of x is an odd number
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"You have to find it. No one else can find it for you." - Bjorn Borg

Kudos [?]: 705 [0], given: 1

Manager
Joined: 22 Sep 2008
Posts: 121

Kudos [?]: 48 [1], given: 0

Re: DS : Another one [#permalink]

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09 Oct 2008, 00:33
1
KUDOS
I am little confused in 'least possible value of x?'.. can X take - values? if no than B alone is sufficient , else A + B (C) is write answer

Kudos [?]: 48 [1], given: 0

VP
Joined: 17 Jun 2008
Posts: 1374

Kudos [?]: 406 [0], given: 0

Re: DS : Another one [#permalink]

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09 Oct 2008, 03:59
amitdgr wrote:
If 3x + 5y =100 and x and y are integers, what is the least possible value of x?

1) x and y are both positive
2) the least possible integral value of x is an odd number

IMO A

1) since x and y are both positive and x can be positive multiple of 5 or 10 since y is an integer ,x = 5 is the least possible value SUFFI

2)again ere x can be multiple of 5 or 10 ,+ve or -ve since here we want least hence lest negative which can be any hence cannot determine !!!INSUFFI

IMO A
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Kudos [?]: 406 [0], given: 0

SVP
Joined: 05 Jul 2006
Posts: 1750

Kudos [?]: 430 [0], given: 49

Re: DS : Another one [#permalink]

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09 Oct 2008, 04:55
amitdgr wrote:
If 3x + 5y =100 and x and y are integers, what is the least possible value of x?

1) x and y are both positive
2) the least possible integral value of x is an odd number

x is lease when y is max

from 1 ( both +ve)

x = 100-5y / 3 = 5(20-y)/ 3 thus 20-y must be a multiple of 3 , least +ve multiple of 3 = 3 itself

y = 17 then x = 5, y at any higher value will yeild a non intiger x....suff

from 2

odd can be +ve or -ve.......insuff

A

Kudos [?]: 430 [0], given: 49

Re: DS : Another one   [#permalink] 09 Oct 2008, 04:55
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