Elyse will be 62 years old in 8 years' time. Now, Jean's age is 56 of Elyse's age. What was Jean's age when she was 4 years more than 75% of Elyse's age?
| |
Jean |
Elyse |
Difference |
| Before |
3 p + 4 |
4 p |
1 p - 4 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 8 |
+ 8 |
|
| After |
5 u + 8 |
62 |
|
Elyse's age in 8 years' time = 6 u + 8
6 u + 8 = 62
6 u = 62 - 8
6 u = 54
1 u = 54 ÷ 6 = 9
Difference between Elyse's age and Jean's age
= 1 u
= 9
75% =
75100 =
34 Difference in Elyse's age and Jean's age at first
= 4 p - (3 p + 4)
= 1 p - 4
The difference in age between Elyse and Jean remains unchanged.
1 p - 4 = 9
1 p = 9 + 4 = 13
Jean's age when she was 4 years more than 75% of Elyse's age
= 3 p + 4
= 3 x 13 + 4
= 39 + 4
= 43
Answer(s): 43
