Paul's age is
13 of his grandaunt's. His grandaunt will be 56 years old in 11 years' time. In how many years' time will Paul's age be
35 that of his grandaunt's?
| |
Paul |
His grandaunt |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change 1 |
+ 11 |
+ 11 |
|
| After |
|
56 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
3x1 =
3 u |
5x1 =
5 u |
2x1 =
2 u |
The age difference between Paul and his grandaunt remains unchanged.
LCM of 2 and 2 is 2.
3 u + 11 = 56
3 u = 56 - 11
3 u = 45
1 u = 45 ÷ 3 = 15
Number of years' time when Paul's age will be
35 that of his grandaunt's age
= 3 u - 1 u
= 2 u
= 2 x 15
= 30
Answer(s): 30
