Caden's age is
14 of his granduncle's. His granduncle will be 46 years old in 6 years' time. In how many years' time will Caden's age be
710 that of his granduncle's?
| |
Caden |
His granduncle |
Difference |
| Before |
1x1 =
1 u |
4x1 =
4 u |
3x1 =
3 u |
| Change 1 |
+ 6 |
+ 6 |
|
| After |
|
46 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
7x1 =
7 u |
10x1 =
10 u |
3x1 =
3 u |
The age difference between Caden and his granduncle remains unchanged.
LCM of 3 and 3 is 3.
4 u + 6 = 46
4 u = 46 - 6
4 u = 40
1 u = 40 ÷ 4 = 10
Number of years' time when Caden's age will be
710 that of his granduncle's age
= 7 u - 1 u
= 6 u
= 6 x 10
= 60
Answer(s): 60
