The ratio of Howard's age to Vincent's age is 7 : 5. Next year, their average age will be 19. How old will Howard be in 9 years' time?
| |
Howard |
Vincent |
Total |
| Before |
7 u |
5 u |
36 |
| Change |
+ 1 |
+ 1 |
|
| After |
7 u + 1 |
5 u + 1 |
38 |
Total age of Howard and Vincent this year
= 7 u + 5 u
= 12 u
Total age of Howard and Vincent this year
= 2 x 19 - 1 - 1
= 38 - 2
= 36
12 u = 36
1 u = 36 ÷ 12 = 3
Howard's age in 9 years' time
= 7 u + 9
= 7 x 3 + 9
= 21 + 9
= 30
Answer(s): 30
