If x and y are intergers greater than 1, is x a multiple of : DS Archive
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# If x and y are intergers greater than 1, is x a multiple of

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If x and y are intergers greater than 1, is x a multiple of [#permalink]

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10 Feb 2007, 07:45
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If x and y are intergers greater than 1, is x a multiple of y?

1) 3(y^2)+7y=x
2) (x^2)-x is a multiple of y
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Re: DS - Is x a multiple of y [#permalink]

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10 Feb 2007, 08:16
SimaQ wrote:
If x and y are intergers greater than 1, is x a multiple of y?

1) 3(y^2)+7y=x
2) (x^2)-x is a multiple of y

is x = ky?

condition 1: 3(y^2) + 7y = x
y(3y+7) = x

y is an integer hence 3y+7 is an integer. Let's say 3y+7=k then x = ky. Hence proved sufficient.

condition 2: (x^2)-x = ky
x(x-1)=ky
x = (k/x-1)*y k/x-1 is not an integer hence not sufficient

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Re: DS - Is x a multiple of y   [#permalink] 10 Feb 2007, 08:16
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