The ratio of Vincent's age to Wesley's age is 3 : 1. Next year, their average age will be 17. How old will Vincent be in 6 years' time?
|
Vincent |
Wesley |
Total |
Before |
3 u |
1 u |
32 |
Change |
+ 1 |
+ 1 |
|
After |
3 u + 1 |
1 u + 1 |
34 |
Total age of Vincent and Wesley this year
= 3 u + 1 u
= 4 u
Total age of Vincent and Wesley this year
= 2 x 17 - 1 - 1
= 34 - 2
= 32
4 u = 32
1 u = 32 ÷ 4 = 8
Vincent's age in 6 years' time
= 3 u + 6
= 3 x 8 + 6
= 24 + 6
= 30
Answer(s): 30