单选题
Alison is now three times as old as Jeremy, but 5 years ago, she was 5
times as old as he was. How old is Alison now?
- A. 10
- B. 12
- C. 24
- D. 30
- E. 36
【正确答案】
D
【答案解析】Use TACTIC 1: backsolve starting with C. If Alison is now 24, Jeremy is 8, and 5 years ago, they would have been 19 and 3, which is more than 5 times as much. Eliminate A, B, and C, and try a bigger value. If Alison is now 30, Jeremy is 10, and 5 years ago, they would have been 25 and 5. That's it; 25 is 5 times 5.
**If Jeremy is now x, Alison is 3x, and 5 years ago they were x- 5 and 3x- 5, respectively. Now, solve:
3x- 5 = 5(x- 5) [*] 3x- 5 = 5x- 25[*]
2x=20[*]x= 10[*]3x=30.