Daniel's age is
110 of his uncle's. His uncle will be 50 years old in 10 years' time. In how many years' time will Daniel's age be
37 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
10 u |
36 |
| Change |
+ 10 |
+ 10 |
|
| After |
|
50 |
|
His uncle's current age
= 50 - 10
= 40
10 u = 40
1 u = 40 ÷ 10 = 4
Daniel's current age = 4
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 4
= 36
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
10 u |
36 |
| Change |
+ ? |
+ ? |
|
| After |
3 p |
7 p |
4 p |
4 p = 36
1 p = 36 ÷ 4 = 9
Daniel's age when he will be
37 of his uncle's age
= 3 p
= 3 x 9
= 27
Number of years' time when Daniel's age will be
37 of his uncle's age
= 3 p - 1 u
= 27 - 9
= 18
Answer(s): 18
