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Re: If x, y and z are integers, what is y – z? [#permalink]
21 Jul 2013, 07:41

1

This post received KUDOS

If x, y and z are integers, what is y – z?

(1) \(100^x = 2^y5^z\) \(2^{2x}5^{2x}=2^y5^z\) so \(y-z=2x-2x=0\). Sufficient

(2) \(10^y = 20^x5^{z+1}\) \(2^y5^y=2^{2x}5^x5^{z+1}\) so \(y=2x\) and \(y=x+z+1\). We cannot determine y-z. Consider y=4,x=2 and z=1 so y-z=3; or y=8,x=4 and y=3 so y-z=5. Not sufficient

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