Orange08 wrote:
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 \(f(m)=9*f(v)\) , then \(m-v=\) ?
(A) 8
(B) 9
(C) 18
(D) 20
(E) 80
To solve this question simply reverse engineer- pick a random value for f(v) such as 123
F(v) = 2^x3^y5^z
f(123)= 2^1 3^2 5^3
f(m) = 2^1 3^2 5^3 * 9
f(m) = 2^1 3^2 5^3 * 3^2
f(m) = 2^1 3^4 5^3
143-123
...
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