Daniel's age is
16 of his uncle's. His uncle will be 56 years old in 2 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 |
45 |
Change |
+ 2 |
+ 2 |
|
After |
|
56 |
|
His uncle's current age
= 56 - 2
= 54
6 u = 54
1 u = 54 ÷ 6 = 9
Daniel's current age = 9
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 9
= 45
|
Daniel |
His uncle |
Difference |
Before |
1 u |
6 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