Daniel's age is
17 of his uncle's. His uncle will be 32 years old in 4 years' time. In how many years' time will Daniel's age be
58 of his uncle's?
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
7 u |
24 |
| Change |
+ 4 |
+ 4 |
|
| After |
|
32 |
|
His uncle's current age
= 32 - 4
= 28
7 u = 28
1 u = 28 ÷ 7 = 4
Daniel's current age = 4
The difference in the age between Daniel and his uncle remains the same.
Difference in the age between Daniel and his uncle
= 7 u - 1 u
= 6 u
= 6 x 4
= 24
| |
Daniel |
His uncle |
Difference |
| Before |
1 u |
7 u |
24 |
| Change |
+ ? |
+ ? |
|
| After |
5 p |
8 p |
3 p |
3 p = 24
1 p = 24 ÷ 3 = 8
Daniel's age when he will be
58 of his uncle's age
= 5 p
= 5 x 8
= 40
Number of years' time when Daniel's age will be
58 of his uncle's age
= 5 p - 1 u
= 40 - 8
= 32
Answer(s): 32
