Daniel's age is
15 of his uncle's. His uncle will be 58 years old in 8 years' time. In how many years' time will Daniel's age be
38 of his uncle's?
|
Daniel |
His uncle |
Difference |
Before |
1 u |
5 u |
40 |
Change |
+ 8 |
+ 8 |
|
After |
|
58 |
|
His uncle's current age
= 58 - 8
= 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 |
8 p |
5 p |
5 p = 40
1 p = 40 ÷ 5 = 8
Daniel's age when he will be
38 of his uncle's age
= 3 p
= 3 x 8
= 24
Number of years' time when Daniel's age will be
38 of his uncle's age
= 3 p - 1 u
= 24 - 8
= 16
Answer(s): 16