Daniel's age is
16 of his uncle's. His uncle will be 52 years old in 10 years' time. In how many years' time will Daniel's age be
38 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
6 u |
35 |
| Change |
+ 10 |
+ 10 |
|
| After |
|
52 |
|
His uncle's current age
= 52 - 10
= 42
6 u = 42
1 u = 42 ÷ 6 = 7
Daniel's current age = 7
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 7
= 35
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
6 u |
35 |
| Change |
+ ? |
+ ? |
|
| After |
3 p |
8 p |
5 p |
5 p = 35
1 p = 35 ÷ 5 = 7
Daniel's age when he will be
38 of his uncle's age
= 3 p
= 3 x 7
= 21
Number of years' time when Daniel's age will be
38 of his uncle's age
= 3 p - 1 u
= 21 - 7
= 14
Answer(s): 14
