The ratio of Simon's age to Reggie's age is 4 : 1. Next year, their average age will be 16. How old will Simon be in 12 years' time?
| |
Simon |
Reggie |
Total |
| Before |
4 u |
1 u |
30 |
| Change |
+ 1 |
+ 1 |
|
| After |
4 u + 1 |
1 u + 1 |
32 |
Total age of Simon and Reggie this year
= 4 u + 1 u
= 5 u
Total age of Simon and Reggie this year
= 2 x 16 - 1 - 1
= 32 - 2
= 30
5 u = 30
1 u = 30 ÷ 5 = 6
Simon's age in 12 years' time
= 4 u + 12
= 4 x 6 + 12
= 24 + 12
= 36
Answer(s): 36
