Caden's age is
25 of his grandaunt's. His grandaunt will be 94 years old in 19 years' time. In how many years' time will Caden's age be
12 that of his grandaunt's?
| |
Caden |
His grandaunt |
Difference |
| Before |
2x1 =
2 u |
5x1 =
5 u |
3x1 =
3 u |
| Change 1 |
+ 19 |
+ 19 |
|
| After |
|
94 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
1x3 =
3 u |
2x3 =
6 u |
1x3 =
3 u |
The age difference between Caden and his grandaunt remains unchanged.
LCM of 3 and 1 is 3.
5 u + 19 = 94
5 u = 94 - 19
5 u = 75
1 u = 75 ÷ 5 = 15
Number of years' time when Caden's age will be
12 that of his grandaunt's age
= 3 u - 2 u
= 1 u
= 1 x 15
= 15
Answer(s): 15
