The ratio of Zane's age to Archie's age is 9 : 8. Next year, their average age will be 18. How old will Zane be in 6 years' time?
| |
Zane |
Archie |
Total |
| Before |
9 u |
8 u |
34 |
| Change |
+ 1 |
+ 1 |
|
| After |
9 u + 1 |
8 u + 1 |
36 |
Total age of Zane and Archie this year
= 9 u + 8 u
= 17 u
Total age of Zane and Archie this year
= 2 x 18 - 1 - 1
= 36 - 2
= 34
17 u = 34
1 u = 34 ÷ 17 = 2
Zane's age in 6 years' time
= 9 u + 6
= 9 x 2 + 6
= 18 + 6
= 24
Answer(s): 24
