题目

Exactly 8 years ago, Jim’s son was twice as old as Jim’s daughter. If Jim’s son is now 5 years older than his daughter, how old is Jim’s daughter now?


选项

A.

5

B.

10

C.

13

D.

16

E.

18

解析

恰好8年前,吉姆的儿子\( S \)的年龄是他女儿\( D \)的两倍 \( S - 8 = 2(D - 8) \) 现在儿子比女儿大5岁: \( S = D + 5 \) 将\( S \)代入第一个方程 \( (D + 5) - 8 = 2(D - 8) \) \( D - 3 = 2D - 16 \) \( D = 13 \) (验证:\( D \)现在13岁,8年前是5岁;\( S \)现在18岁(\( = D + 5 \)),8年前是10岁。10正好是当时5岁的两倍,验证正确。) 答案C
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