The ratio of Wesley's age to Gabriel's age is 5 : 1. Next year, their average age will be 10. How old will Wesley be in 9 years' time?
| |
Wesley |
Gabriel |
Total |
| Before |
5 u |
1 u |
18 |
| Change |
+ 1 |
+ 1 |
|
| After |
5 u + 1 |
1 u + 1 |
20 |
Total age of Wesley and Gabriel this year
= 5 u + 1 u
= 6 u
Total age of Wesley and Gabriel this year
= 2 x 10 - 1 - 1
= 20 - 2
= 18
6 u = 18
1 u = 18 ÷ 6 = 3
Wesley's age in 9 years' time
= 5 u + 9
= 5 x 3 + 9
= 15 + 9
= 24
Answer(s): 24
