Dylan's age is
14 of his grandaunt's. His grandaunt will be 64 years old in 20 years' time. In how many years' time will Dylan's age be
23 that of his grandaunt's?
| |
Dylan |
His grandaunt |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change 1 |
+ 20 |
+ 20 |
|
| After |
|
64 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
2x3 =
6 u |
3x3 =
9 u |
1x3 =
3 u |
The age difference between Dylan and his grandaunt remains unchanged.
LCM of 3 and 1 is 3.
4 u + 20 = 64
4 u = 64 - 20
4 u = 44
1 u = 44 ÷ 4 = 11
Number of years' time when Dylan's age will be
23 that of his grandaunt's age
= 6 u - 1 u
= 5 u
= 5 x 11
= 55
Answer(s): 55
