Daniel's age is
15 of his uncle's. His uncle will be 33 years old in 8 years' time. In how many years' time will Daniel's age be
37 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
5 u |
20 |
| Change |
+ 8 |
+ 8 |
|
| After |
|
33 |
|
His uncle's current age
= 33 - 8
= 25
5 u = 25
1 u = 25 ÷ 5 = 5
Daniel's current age = 5
The difference in the age between Daniel and his uncle remains the same.
Difference in the age between Daniel and his uncle
= 5 u - 1 u
= 4 u
= 4 x 5
= 20
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
5 u |
20 |
| Change |
+ ? |
+ ? |
|
| After |
3 p |
7 p |
4 p |
4 p = 20
1 p = 20 ÷ 4 = 5
Daniel's age when he will be
37 of his uncle's age
= 3 p
= 3 x 5
= 15
Number of years' time when Daniel's age will be
37 of his uncle's age
= 3 p - 1 u
= 15 - 5
= 10
Answer(s): 10
