Caden's age is
38 of his grandaunt's. His grandaunt will be 74 years old in 10 years' time. In how many years' time will Caden's age be
12 that of his grandaunt's?
| |
Caden |
His grandaunt |
Difference |
| Before |
3x1 =
3 u |
8x1 =
8 u |
5x1 =
5 u |
| Change 1 |
+ 10 |
+ 10 |
|
| After |
|
74 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
1x5 =
5 u |
2x5 =
10 u |
1x5 =
5 u |
The age difference between Caden and his grandaunt remains unchanged.
LCM of 5 and 1 is 5.
8 u + 10 = 74
8 u = 74 - 10
8 u = 64
1 u = 64 ÷ 8 = 8
Number of years' time when Caden's age will be
12 that of his grandaunt's age
= 5 u - 3 u
= 2 u
= 2 x 8
= 16
Answer(s): 16
