Bryan's age is
13 of his granduncle's. His granduncle will be 58 years old in 13 years' time. In how many years' time will Bryan's age be
23 that of his granduncle's?
| |
Bryan |
His granduncle |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change 1 |
+ 13 |
+ 13 |
|
| After |
|
58 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
2x2 =
4 u |
3x2 =
6 u |
1x2 =
2 u |
The age difference between Bryan and his granduncle remains unchanged.
LCM of 2 and 1 is 2.
3 u + 13 = 58
3 u = 58 - 13
3 u = 45
1 u = 45 ÷ 3 = 15
Number of years' time when Bryan's age will be
23 that of his granduncle's age
= 4 u - 1 u
= 3 u
= 3 x 15
= 45
Answer(s): 45
