The ratio of Simon's age to Jenson's age is 5 : 4. Next year, their average age will be 19. How old will Simon be in 11 years' time?
|
Simon |
Jenson |
Total |
Before |
5 u |
4 u |
36 |
Change |
+ 1 |
+ 1 |
|
After |
5 u + 1 |
4 u + 1 |
38 |
Total age of Simon and Jenson this year
= 5 u + 4 u
= 9 u
Total age of Simon and Jenson this year
= 2 x 19 - 1 - 1
= 38 - 2
= 36
9 u = 36
1 u = 36 ÷ 9 = 4
Simon's age in 11 years' time
= 5 u + 11
= 5 x 4 + 11
= 20 + 11
= 31
Answer(s): 31