Zara will be 26 years old in 8 years' time. Now, Elyse's age is 12 of Zara's age. What was Elyse's age when she was 6 years less than 90% of Zara's age?
| |
Elyse |
Zara |
Difference |
| Before |
9 p - 6 |
10 p |
1 p + 6 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
1 u |
2 u |
1 u |
| Change 2 |
+ 8 |
+ 8 |
|
| After |
1 u + 8 |
26 |
|
Zara's age in 8 years' time = 2 u + 8
2 u + 8 = 26
2 u = 26 - 8
2 u = 18
1 u = 18 ÷ 2 = 9
Difference between Zara's age and Elyse's age
= 1 u
= 9
90% =
90100 =
910 Difference in Zara's age and Elyse's age at first
= 10 p - (9 p - 6)
= 1 p + 6
The difference in age between Zara and Elyse remains unchanged.
1 p + 6 = 9
1 p = 9 - 6 = 3
Elyse's age when she was 6 years less than 90% of Zara's age
= 9 p - 6
= 9 x 3 - 6
= 27 - 6
= 21
Answer(s): 21
