The ratio of Ian's age to Japheth's age is 9 : 2. Next year, their average age will be 23. How old will Ian be in 2 years' time?
|
Ian |
Japheth |
Total |
Before |
9 u |
2 u |
44 |
Change |
+ 1 |
+ 1 |
|
After |
9 u + 1 |
2 u + 1 |
46 |
Total age of Ian and Japheth this year
= 9 u + 2 u
= 11 u
Total age of Ian and Japheth this year
= 2 x 23 - 1 - 1
= 46 - 2
= 44
11 u = 44
1 u = 44 ÷ 11 = 4
Ian's age in 2 years' time
= 9 u + 2
= 9 x 4 + 2
= 36 + 2
= 38
Answer(s): 38