Gem will be 77 years old in 5 years' time. Now, Mary's age is 56 of Gem's age. What was Mary's age when she was 3 years more than 75% of Gem's age?
| |
Mary |
Gem |
Difference |
| Before |
3 p + 3 |
4 p |
1 p - 3 |
| Change 1 |
+ ? |
+ ? |
|
| After 1 (Now) |
5 u |
6 u |
1 u |
| Change 2 |
+ 5 |
+ 5 |
|
| After |
5 u + 5 |
77 |
|
Gem's age in 5 years' time = 6 u + 5
6 u + 5 = 77
6 u = 77 - 5
6 u = 72
1 u = 72 ÷ 6 = 12
Difference between Gem's age and Mary's age
= 1 u
= 12
75% =
75100 =
34 Difference in Gem's age and Mary's age at first
= 4 p - (3 p + 3)
= 1 p - 3
The difference in age between Gem and Mary remains unchanged.
1 p - 3 = 12
1 p = 12 + 3 = 15
Mary's age when she was 3 years more than 75% of Gem's age
= 3 p + 3
= 3 x 15 + 3
= 45 + 3
= 48
Answer(s): 48
