The ratio of Ian's age to Mark's age is 2 : 1. Next year, their average age will be 22. How old will Ian be in 10 years' time?
|
Ian |
Mark |
Total |
Before |
2 u |
1 u |
42 |
Change |
+ 1 |
+ 1 |
|
After |
2 u + 1 |
1 u + 1 |
44 |
Total age of Ian and Mark this year
= 2 u + 1 u
= 3 u
Total age of Ian and Mark this year
= 2 x 22 - 1 - 1
= 44 - 2
= 42
3 u = 42
1 u = 42 ÷ 3 = 14
Ian's age in 10 years' time
= 2 u + 10
= 2 x 14 + 10
= 28 + 10
= 38
Answer(s): 38