Yen will be 29 years old in 3 years' time. Now, Zoe's age is 12 of Yen's age. What was Zoe's age when she was 2 years less than 75% of Yen's age?
| |
Zoe |
Yen |
Difference |
| Before |
3 p - 2 |
4 p |
1 p + 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 3 |
+ 3 |
|
| After |
1 u + 3 |
29 |
|
Yen's age in 3 years' time = 2 u + 3
2 u + 3 = 29
2 u = 29 - 3
2 u = 26
1 u = 26 ÷ 2 = 13
Difference between Yen's age and Zoe's age
= 1 u
= 13
75% =
75100 =
34 Difference in Yen's age and Zoe's age at first
= 4 p - (3 p - 2)
= 1 p + 2
The difference in age between Yen and Zoe remains unchanged.
1 p + 2 = 13
1 p = 13 - 2 = 11
Zoe's age when she was 2 years less than 75% of Yen's age
= 3 p - 2
= 3 x 11 - 2
= 33 - 2
= 31
Answer(s): 31
