Daniel's age is
19 of his uncle's. His uncle will be 37 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 |
9 u |
24 |
| Change |
+ 10 |
+ 10 |
|
| After |
|
37 |
|
His uncle's current age
= 37 - 10
= 27
9 u = 27
1 u = 27 ÷ 9 = 3
Daniel's current age = 3
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 3
= 24
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
9 u |
24 |
| Change |
+ ? |
+ ? |
|
| After |
3 p |
7 p |
4 p |
4 p = 24
1 p = 24 ÷ 4 = 6
Daniel's age when he will be
37 of his uncle's age
= 3 p
= 3 x 6
= 18
Number of years' time when Daniel's age will be
37 of his uncle's age
= 3 p - 1 u
= 18 - 6
= 12
Answer(s): 12
