The ratio of Dylan's age to Luke's age is 3 : 1. Next year, their average age will be 23. How old will Dylan be in 11 years' time?
|
Dylan |
Luke |
Total |
Before |
3 u |
1 u |
44 |
Change |
+ 1 |
+ 1 |
|
After |
3 u + 1 |
1 u + 1 |
46 |
Total age of Dylan and Luke this year
= 3 u + 1 u
= 4 u
Total age of Dylan and Luke this year
= 2 x 23 - 1 - 1
= 46 - 2
= 44
4 u = 44
1 u = 44 ÷ 4 = 11
Dylan's age in 11 years' time
= 3 u + 11
= 3 x 11 + 11
= 33 + 11
= 44
Answer(s): 44