Daniel's age is
16 of his uncle's. His uncle will be 81 years old in 9 years' time. In how many years' time will Daniel's age be
38 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
6 u |
60 |
| Change |
+ 9 |
+ 9 |
|
| After |
|
81 |
|
His uncle's current age
= 81 - 9
= 72
6 u = 72
1 u = 72 ÷ 6 = 12
Daniel's current age = 12
The difference in the age between Daniel and his uncle remains the same.
Difference in the age between Daniel and his uncle
= 6 u - 1 u
= 5 u
= 5 x 12
= 60
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
6 u |
60 |
| Change |
+ ? |
+ ? |
|
| After |
3 p |
8 p |
5 p |
5 p = 60
1 p = 60 ÷ 5 = 12
Daniel's age when he will be
38 of his uncle's age
= 3 p
= 3 x 12
= 36
Number of years' time when Daniel's age will be
38 of his uncle's age
= 3 p - 1 u
= 36 - 12
= 24
Answer(s): 24
