Daniel's age is
18 of his uncle's. His uncle will be 38 years old in 6 years' time. In how many years' time will Daniel's age be
37 of his uncle's?
|
Daniel |
His uncle |
Difference |
Before |
1 u |
8 u |
28 |
Change |
+ 6 |
+ 6 |
|
After |
|
38 |
|
His uncle's current age
= 38 - 6
= 32
8 u = 32
1 u = 32 ÷ 8 = 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
= 8 u - 1 u
= 7 u
= 7 x 4
= 28
|
Daniel |
His uncle |
Difference |
Before |
1 u |
8 u |
28 |
Change |
+ ? |
+ ? |
|
After |
3 p |
7 p |
4 p |
4 p = 28
1 p = 28 ÷ 4 = 7
Daniel's age when he will be
37 of his uncle's age
= 3 p
= 3 x 7
= 21
Number of years' time when Daniel's age will be
37 of his uncle's age
= 3 p - 1 u
= 21 - 7
= 14
Answer(s): 14