The ratio of Howard's age to Gabriel's age is 3 : 2. Next year, their average age will be 21. How old will Howard be in 8 years' time?
| |
Howard |
Gabriel |
Total |
| Before |
3 u |
2 u |
40 |
| Change |
+ 1 |
+ 1 |
|
| After |
3 u + 1 |
2 u + 1 |
42 |
Total age of Howard and Gabriel this year
= 3 u + 2 u
= 5 u
Total age of Howard and Gabriel this year
= 2 x 21 - 1 - 1
= 42 - 2
= 40
5 u = 40
1 u = 40 ÷ 5 = 8
Howard's age in 8 years' time
= 3 u + 8
= 3 x 8 + 8
= 24 + 8
= 32
Answer(s): 32
