Oscar is 3 times as old as his brother. In 16 years' time, Oscar will be 14 years less than twice of his brother's age. How old will Oscar be in 2 years' time?
|
Oscar |
Oscar's brother |
Difference |
Before |
3 u |
1 u |
2 u |
Change |
+ 16 |
+ 16 |
|
After |
2 p - 14 |
1 p |
1 p - 14 |
Difference in their ages at first
= 3 u - 1 u
= 2 u
Difference in their ages in the end
= 2 p - 14 - 1 p
= 1 p - 14
The difference in their ages remains unchanged.
2 u = 1 p - 14
2 u + 14 =
1 p --- (1)
Age of Oscar's brother in 16 years' time
= 1 u + 16
1 u + 16 =
1 p --- (2)
(1) = (2)
2 u + 14 = 1 u + 16
2 u - 1 u = 16 - 14
1 u = 2
Oscar's current age
= 3 u
= 3 x 2
= 6
Oscar's age in 2 years' time
= 6 + 2
= 8
Answer(s): 8