Reggie's age is
25 of his grandaunt's. His grandaunt will be 68 years old in 13 years' time. In how many years' time will Reggie's age be
23 that of his grandaunt's?
|
Reggie |
His grandaunt |
Difference |
Before |
2x1 = 2 u |
5x1 = 5 u |
3x1 = 3 u |
Change 1 |
+ 13 |
+ 13 |
|
After |
|
68 |
|
Change 2 |
+ ? |
+ ? |
|
After 2 |
2x3 = 6 u |
3x3 = 9 u |
1x3 = 3 u |
The age difference between Reggie and his grandaunt remains unchanged.
LCM of 3 and 1 is 3.
5 u + 13 = 68
5 u = 68 - 13
5 u = 55
1 u = 55 ÷ 5 = 11
Number of years' time when Reggie's age will be
23 that of his grandaunt's age
= 6 u - 2 u
= 4 u
= 4 x 11
= 44
Answer(s): 44