The ratio of Wesley's age to Ken's age is 5 : 1. Next year, their average age will be 16. How old will Wesley be in 12 years' time?
|
Wesley |
Ken |
Total |
Before |
5 u |
1 u |
30 |
Change |
+ 1 |
+ 1 |
|
After |
5 u + 1 |
1 u + 1 |
32 |
Total age of Wesley and Ken this year
= 5 u + 1 u
= 6 u
Total age of Wesley and Ken this year
= 2 x 16 - 1 - 1
= 32 - 2
= 30
6 u = 30
1 u = 30 ÷ 6 = 5
Wesley's age in 12 years' time
= 5 u + 12
= 5 x 5 + 12
= 25 + 12
= 37
Answer(s): 37