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The function \(f\) is defined for each positive three-digit integer \(n\) by \(f(n)=2^x3^y5^z,\) where \(x, y\) and

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The function \(f\) is defined for each positive three-digit integer \(n\) by \(f(n)=2^x3^y5^z,\) where \(x, y\) and

by Vincen » Sat Jan 30, 2021 10:14 pm

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The function \(f\) is defined for each positive three-digit integer \(n\) by \(f(n)=2^x3^y5^z,\) where \(x, y\) and \(z\) are the hundreds, tens, and units digits of \(n,\) respectively. If \(m\) and \(v\) are three-digit positive integers such that \(f(m)=9f(v),\) then \(m-v= ?\)

(A) 8
(B) 9
(C) 18
(D) 20
(E) 80

Answer: D

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