The ratio of Mark's age to Luke's age is 2 : 1. Next year, their average age will be 19. How old will Mark be in 10 years' time?
| |
Mark |
Luke |
Total |
| Before |
2 u |
1 u |
36 |
| Change |
+ 1 |
+ 1 |
|
| After |
2 u + 1 |
1 u + 1 |
38 |
Total age of Mark and Luke this year
= 2 u + 1 u
= 3 u
Total age of Mark and Luke this year
= 2 x 19 - 1 - 1
= 38 - 2
= 36
3 u = 36
1 u = 36 ÷ 3 = 12
Mark's age in 10 years' time
= 2 u + 10
= 2 x 12 + 10
= 24 + 10
= 34
Answer(s): 34
