The ratio of Oscar's age to Simon's age is 5 : 2. Next year, their average age will be 22. How old will Oscar be in 12 years' time?
| |
Oscar |
Simon |
Total |
| Before |
5 u |
2 u |
42 |
| Change |
+ 1 |
+ 1 |
|
| After |
5 u + 1 |
2 u + 1 |
44 |
Total age of Oscar and Simon this year
= 5 u + 2 u
= 7 u
Total age of Oscar and Simon this year
= 2 x 22 - 1 - 1
= 44 - 2
= 42
7 u = 42
1 u = 42 ÷ 7 = 6
Oscar's age in 12 years' time
= 5 u + 12
= 5 x 6 + 12
= 30 + 12
= 42
Answer(s): 42
