The ratio of Howard's age to Gabriel's age is 3 : 2. Next year, their average age will be 11. How old will Howard be in 12 years' time?
|
Howard |
Gabriel |
Total |
Before |
3 u |
2 u |
20 |
Change |
+ 1 |
+ 1 |
|
After |
3 u + 1 |
2 u + 1 |
22 |
Total age of Howard and Gabriel this year
= 3 u + 2 u
= 5 u
Total age of Howard and Gabriel this year
= 2 x 11 - 1 - 1
= 22 - 2
= 20
5 u = 20
1 u = 20 ÷ 5 = 4
Howard's age in 12 years' time
= 3 u + 12
= 3 x 4 + 12
= 12 + 12
= 24
Answer(s): 24