Wesley's age is
37 of his granduncle's. His granduncle will be 76 years old in 6 years' time. In how many years' time will Wesley's age be
35 that of his granduncle's?
| |
Wesley |
His granduncle |
Difference |
| Before |
3x1 =
3 u |
7x1 =
7 u |
4x1 =
4 u |
| Change 1 |
+ 6 |
+ 6 |
|
| After |
|
76 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
3x2 =
6 u |
5x2 =
10 u |
2x2 =
4 u |
The age difference between Wesley and his granduncle remains unchanged.
LCM of 4 and 2 is 4.
7 u + 6 = 76
7 u = 76 - 6
7 u = 70
1 u = 70 ÷ 7 = 10
Number of years' time when Wesley's age will be
35 that of his granduncle's age
= 6 u - 3 u
= 3 u
= 3 x 10
= 30
Answer(s): 30
