Daniel's age is
15 of his uncle's. His uncle will be 38 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 |
24 |
Change |
+ 8 |
+ 8 |
|
After |
|
38 |
|
His uncle's current age
= 38 - 8
= 30
5 u = 30
1 u = 30 ÷ 5 = 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
= 5 u - 1 u
= 4 u
= 4 x 6
= 24
|
Daniel |
His uncle |
Difference |
Before |
1 u |
5 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