The ratio of Zane's age to Howard's age is 5 : 1. Next year, their average age will be 19. How old will Zane be in 6 years' time?
|
Zane |
Howard |
Total |
Before |
5 u |
1 u |
36 |
Change |
+ 1 |
+ 1 |
|
After |
5 u + 1 |
1 u + 1 |
38 |
Total age of Zane and Howard this year
= 5 u + 1 u
= 6 u
Total age of Zane and Howard this year
= 2 x 19 - 1 - 1
= 38 - 2
= 36
6 u = 36
1 u = 36 ÷ 6 = 6
Zane's age in 6 years' time
= 5 u + 6
= 5 x 6 + 6
= 30 + 6
= 36
Answer(s): 36