The ratio of Owen's age to Reggie's age is 5 : 3. Next year, their average age will be 21. How old will Owen be in 3 years' time?
|
Owen |
Reggie |
Total |
Before |
5 u |
3 u |
40 |
Change |
+ 1 |
+ 1 |
|
After |
5 u + 1 |
3 u + 1 |
42 |
Total age of Owen and Reggie this year
= 5 u + 3 u
= 8 u
Total age of Owen and Reggie this year
= 2 x 21 - 1 - 1
= 42 - 2
= 40
8 u = 40
1 u = 40 ÷ 8 = 5
Owen's age in 3 years' time
= 5 u + 3
= 5 x 5 + 3
= 25 + 3
= 28
Answer(s): 28