Daniel's age is
19 of his uncle's. His uncle will be 64 years old in 10 years' time. In how many years' time will Daniel's age be
25 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
9 u |
48 |
| Change |
+ 10 |
+ 10 |
|
| After |
|
64 |
|
His uncle's current age
= 64 - 10
= 54
9 u = 54
1 u = 54 ÷ 9 = 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
= 9 u - 1 u
= 8 u
= 8 x 6
= 48
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
9 u |
48 |
| Change |
+ ? |
+ ? |
|
| After |
2 p |
5 p |
3 p |
3 p = 48
1 p = 48 ÷ 3 = 16
Daniel's age when he will be
25 of his uncle's age
= 2 p
= 2 x 16
= 32
Number of years' time when Daniel's age will be
25 of his uncle's age
= 2 p - 1 u
= 32 - 16
= 16
Answer(s): 16
