Gem will be 84 years old in 12 years' time. Now, Xandra's age is 56 of Gem's age. What was Xandra's age when she was 2 years more than 75% of Gem's age?
| |
Xandra |
Gem |
Difference |
| Before |
3 p + 2 |
4 p |
1 p - 2 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 12 |
+ 12 |
|
| After |
5 u + 12 |
84 |
|
Gem's age in 12 years' time = 6 u + 12
6 u + 12 = 84
6 u = 84 - 12
6 u = 72
1 u = 72 ÷ 6 = 12
Difference between Gem's age and Xandra's age
= 1 u
= 12
75% =
75100 =
34 Difference in Gem's age and Xandra's age at first
= 4 p - (3 p + 2)
= 1 p - 2
The difference in age between Gem and Xandra remains unchanged.
1 p - 2 = 12
1 p = 12 + 2 = 14
Xandra's age when she was 2 years more than 75% of Gem's age
= 3 p + 2
= 3 x 14 + 2
= 42 + 2
= 44
Answer(s): 44
