Asher's age is
13 of his grandmother's. His grandmother will be 48 years old in 6 years' time. In how many years' time will Asher's age be
12 that of his grandmother's?
| |
Asher |
His grandmother |
Difference |
| Before |
1x1 =
1 u |
3x1 =
3 u |
2x1 =
2 u |
| Change 1 |
+ 6 |
+ 6 |
|
| After |
|
48 |
|
| Change 2 |
+ ? |
+ ? |
|
| After 2 |
1x2 =
2 u |
2x2 =
4 u |
1x2 =
2 u |
The age difference between Asher and his grandmother remains unchanged.
LCM of 2 and 1 is 2.
3 u + 6 = 48
3 u = 48 - 6
3 u = 42
1 u = 42 ÷ 3 = 14
Number of years' time when Asher's age will be
12 that of his grandmother's age
= 2 u - 1 u
= 1 u
= 1 x 14
= 14
Answer(s): 14
