Elyse will be 36 years old in 8 years' time. Now, Vanessa's age is 12 of Elyse's age. What was Vanessa's age when she was 5 years less than 90% of Elyse's age?
| |
Vanessa |
Elyse |
Difference |
| Before |
9 p - 5 |
10 p |
1 p + 5 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 8 |
+ 8 |
|
| After |
1 u + 8 |
36 |
|
Elyse's age in 8 years' time = 2 u + 8
2 u + 8 = 36
2 u = 36 - 8
2 u = 28
1 u = 28 ÷ 2 = 14
Difference between Elyse's age and Vanessa's age
= 1 u
= 14
90% =
90100 =
910 Difference in Elyse's age and Vanessa's age at first
= 10 p - (9 p - 5)
= 1 p + 5
The difference in age between Elyse and Vanessa remains unchanged.
1 p + 5 = 14
1 p = 14 - 5 = 9
Vanessa's age when she was 5 years less than 90% of Elyse's age
= 9 p - 5
= 9 x 9 - 5
= 81 - 5
= 76
Answer(s): 76
