The ratio of Fred's age to Dylan's age is 6 : 1. Next year, their average age will be 22. How old will Fred be in 10 years' time?
|
Fred |
Dylan |
Total |
Before |
6 u |
1 u |
42 |
Change |
+ 1 |
+ 1 |
|
After |
6 u + 1 |
1 u + 1 |
44 |
Total age of Fred and Dylan this year
= 6 u + 1 u
= 7 u
Total age of Fred and Dylan this year
= 2 x 22 - 1 - 1
= 44 - 2
= 42
7 u = 42
1 u = 42 ÷ 7 = 6
Fred's age in 10 years' time
= 6 u + 10
= 6 x 6 + 10
= 36 + 10
= 46
Answer(s): 46