The ratio of Fred's age to Asher's age is 2 : 1. Next year, their average age will be 22. How old will Fred be in 3 years' time?
|
Fred |
Asher |
Total |
Before |
2 u |
1 u |
42 |
Change |
+ 1 |
+ 1 |
|
After |
2 u + 1 |
1 u + 1 |
44 |
Total age of Fred and Asher this year
= 2 u + 1 u
= 3 u
Total age of Fred and Asher this year
= 2 x 22 - 1 - 1
= 44 - 2
= 42
3 u = 42
1 u = 42 ÷ 3 = 14
Fred's age in 3 years' time
= 2 u + 3
= 2 x 14 + 3
= 28 + 3
= 31
Answer(s): 31