Bryan's age is
15 of his granduncle's. His granduncle will be 49 years old in 9 years' time. In how many years' time will Bryan's age be
35 that of his granduncle's?
| |
Bryan |
His granduncle |
Difference |
| Before |
1x1 =
1 u |
5x1 =
5 u |
4x1 =
4 u |
| Change 1 |
+ 9 |
+ 9 |
|
| After |
|
49 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
3x2 =
6 u |
5x2 =
10 u |
2x2 =
4 u |
The age difference between Bryan and his granduncle remains unchanged.
LCM of 4 and 2 is 4.
5 u + 9 = 49
5 u = 49 - 9
5 u = 40
1 u = 40 ÷ 5 = 8
Number of years' time when Bryan's age will be
35 that of his granduncle's age
= 6 u - 1 u
= 5 u
= 5 x 8
= 40
Answer(s): 40
