The ratio of Fabian's age to Tim's age is 5 : 3. Next year, their average age will be 17. How old will Fabian be in 9 years' time?
| |
Fabian |
Tim |
Total |
| Before |
5 u |
3 u |
32 |
| Change |
+ 1 |
+ 1 |
|
| After |
5 u + 1 |
3 u + 1 |
34 |
Total age of Fabian and Tim this year
= 5 u + 3 u
= 8 u
Total age of Fabian and Tim this year
= 2 x 17 - 1 - 1
= 34 - 2
= 32
8 u = 32
1 u = 32 ÷ 8 = 4
Fabian's age in 9 years' time
= 5 u + 9
= 5 x 4 + 9
= 20 + 9
= 29
Answer(s): 29
