Daniel's age is
16 of his uncle's. His uncle will be 80 years old in 8 years' time. In how many years' time will Daniel's age be
25 of his uncle's?
|
Daniel |
His uncle |
Difference |
Before |
1 u |
6 u |
60 |
Change |
+ 8 |
+ 8 |
|
After |
|
80 |
|
His uncle's current age
= 80 - 8
= 72
6 u = 72
1 u = 72 ÷ 6 = 12
Daniel's current age = 12
The difference in the age between Daniel and his uncle remains the same.
Difference in the age between Daniel and his uncle
= 6 u - 1 u
= 5 u
= 5 x 12
= 60
|
Daniel |
His uncle |
Difference |
Before |
1 u |
6 u |
60 |
Change |
+ ? |
+ ? |
|
After |
2 p |
5 p |
3 p |
3 p = 60
1 p = 60 ÷ 3 = 20
Daniel's age when he will be
25 of his uncle's age
= 2 p
= 2 x 20
= 40
Number of years' time when Daniel's age will be
25 of his uncle's age
= 2 p - 1 u
= 40 - 20
= 20
Answer(s): 20