Flynn's age is
14 of his grandmother's. His grandmother will be 61 years old in 17 years' time. In how many years' time will Flynn's age be
23 that of his grandmother's?
| |
Flynn |
His grandmother |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change 1 |
+ 17 |
+ 17 |
|
| After |
|
61 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
2x3 =
6 u |
3x3 =
9 u |
1x3 =
3 u |
The age difference between Flynn and his grandmother remains unchanged.
LCM of 3 and 1 is 3.
4 u + 17 = 61
4 u = 61 - 17
4 u = 44
1 u = 44 ÷ 4 = 11
Number of years' time when Flynn's age will be
23 that of his grandmother's age
= 6 u - 1 u
= 5 u
= 5 x 11
= 55
Answer(s): 55
