Daniel's age is
110 of his uncle's. His uncle will be 69 years old in 9 years' time. In how many years' time will Daniel's age be
25 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
10 u |
54 |
| Change |
+ 9 |
+ 9 |
|
| After |
|
69 |
|
His uncle's current age
= 69 - 9
= 60
10 u = 60
1 u = 60 ÷ 10 = 6
Daniel's current age = 6
The difference in the age between Daniel and his uncle remains the same.
Difference in the age between Daniel and his uncle
= 10 u - 1 u
= 9 u
= 9 x 6
= 54
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
10 u |
54 |
| Change |
+ ? |
+ ? |
|
| After |
2 p |
5 p |
3 p |
3 p = 54
1 p = 54 ÷ 3 = 18
Daniel's age when he will be
25 of his uncle's age
= 2 p
= 2 x 18
= 36
Number of years' time when Daniel's age will be
25 of his uncle's age
= 2 p - 1 u
= 36 - 18
= 18
Answer(s): 18
