Gabriel's age is
25 of his grandaunt's. His grandaunt will be 59 years old in 19 years' time. In how many years' time will Gabriel's age be
710 that of his grandaunt's?
| |
Gabriel |
His grandaunt |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change 1 |
+ 19 |
+ 19 |
|
| After |
|
59 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
7x1 =
7 u |
10x1 =
10 u |
3x1 =
3 u |
The age difference between Gabriel and his grandaunt remains unchanged.
LCM of 3 and 3 is 3.
5 u + 19 = 59
5 u = 59 - 19
5 u = 40
1 u = 40 ÷ 5 = 8
Number of years' time when Gabriel's age will be
710 that of his grandaunt's age
= 7 u - 2 u
= 5 u
= 5 x 8
= 40
Answer(s): 40
