Daniel's age is
110 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
25 of his uncle's?
|
Daniel |
His uncle |
Difference |
Before |
1 u |
10 u |
45 |
Change |
+ 8 |
+ 8 |
|
After |
|
58 |
|
His uncle's current age
= 58 - 8
= 50
10 u = 50
1 u = 50 ÷ 10 = 5
Daniel's current age = 5
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 5
= 45
|
Daniel |
His uncle |
Difference |
Before |
1 u |
10 u |
45 |
Change |
+ ? |
+ ? |
|
After |
2 p |
5 p |
3 p |
3 p = 45
1 p = 45 ÷ 3 = 15
Daniel's age when he will be
25 of his uncle's age
= 2 p
= 2 x 15
= 30
Number of years' time when Daniel's age will be
25 of his uncle's age
= 2 p - 1 u
= 30 - 15
= 15
Answer(s): 15