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标题: [求助]gwd-30-2 [打印本页]

作者: ZHUGUICHU    时间: 2006-6-11 15:31     标题: [求助]gwd-30-2

Q2:

The function f is defined for each positive three-digit integer n by f(n) = 2x3y5z, 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

雖然看過參考帖,但還是不理解,請幫忙, 謝謝

2. f(v)=2x3y5z

f(m)=2x3y+25z

v=100x+10y+z

m=100x+10(y+2)+z

m-v=20


作者: asasasas1    时间: 2006-6-12 06:43

2. f(v) = 9 * f(m)
= 3^2 * f(m)
= 2^x * 3^y * 3^2 * 5^z
= 2^x * 3^(y+2) * 5^z





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