Re: [計量] GWD11-Q36
※ 引述《chilis (龐克新生報到^_^)》之銘言：
: When positive integer x is divided by 5, the remainder is 3; and
: when y is divided by 7, the remainder is 4. When positive integer y
: is divided by 5, the remainder is 3; and when y is divided by 7,
: the remainder is 4. If x > y, which of the following must be a
: factor of x - y?
題目有打錯嗎?
第2行的y應該是指X吧
如果是的話再繼續看 囧
1.X>Y
X = 5*(某數A) + 3
Y = 5*(某數B) + 3
X-Y = 5*(A-B) [(A-B)>0]
=> X為5的倍數
2.X>Y
X = 7*(某數C) + 4
Y = 7*(某數D) + 4
X-7 = 7*(C-D) [(C-D)>0]
=> X為7的倍數
X-Y為正整數>0 又為5和7的倍數, 故必為35的倍數
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