Flynn's age is
15 of his grandfather's. His grandfather will be 52 years old in 2 years' time. In how many years' time will Flynn's age be
35 that of his grandfather's?
|
Flynn |
His grandfather |
Difference |
Before |
1x1 = 1 u |
5x1 = 5 u |
4x1 = 4 u |
Change 1 |
+ 2 |
+ 2 |
|
After |
|
52 |
|
Change 2 |
+ ? |
+ ? |
|
After 2 |
3x2 = 6 u |
5x2 = 10 u |
2x2 = 4 u |
The age difference between Flynn and his grandfather remains unchanged.
LCM of 4 and 2 is 4.
5 u + 2 = 52
5 u = 52 - 2
5 u = 50
1 u = 50 ÷ 5 = 10
Number of years' time when Flynn's age will be
35 that of his grandfather's age
= 6 u - 1 u
= 5 u
= 5 x 10
= 50
Answer(s): 50