Owen's age is
13 of his granduncle's. His granduncle will be 45 years old in 3 years' time. In how many years' time will Owen's age be
12 that of his granduncle's?
| |
Owen |
His granduncle |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change 1 |
+ 3 |
+ 3 |
|
| After |
|
45 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
1x2 =
2 u |
2x2 =
4 u |
1x2 =
2 u |
The age difference between Owen and his granduncle remains unchanged.
LCM of 2 and 1 is 2.
3 u + 3 = 45
3 u = 45 - 3
3 u = 42
1 u = 42 ÷ 3 = 14
Number of years' time when Owen's age will be
12 that of his granduncle's age
= 2 u - 1 u
= 1 u
= 1 x 14
= 14
Answer(s): 14
