Daniel's age is
15 of his uncle's. His uncle will be 57 years old in 7 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 |
40 |
| Change |
+ 7 |
+ 7 |
|
| After |
|
57 |
|
His uncle's current age
= 57 - 7
= 50
5 u = 50
1 u = 50 ÷ 5 = 10
Daniel's current age = 10
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 10
= 40
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
5 u |
40 |
| Change |
+ ? |
+ ? |
|
| After |
3 p |
7 p |
4 p |
4 p = 40
1 p = 40 ÷ 4 = 10
Daniel's age when he will be
37 of his uncle's age
= 3 p
= 3 x 10
= 30
Number of years' time when Daniel's age will be
37 of his uncle's age
= 3 p - 1 u
= 30 - 10
= 20
Answer(s): 20
