The ratio of Howard's age to Tommy's age is 4 : 3. Next year, their average age will be 22. How old will Howard be in 12 years' time?
| |
Howard |
Tommy |
Total |
| Before |
4 u |
3 u |
42 |
| Change |
+ 1 |
+ 1 |
|
| After |
4 u + 1 |
3 u + 1 |
44 |
Total age of Howard and Tommy this year
= 4 u + 3 u
= 7 u
Total age of Howard and Tommy this year
= 2 x 22 - 1 - 1
= 44 - 2
= 42
7 u = 42
1 u = 42 ÷ 7 = 6
Howard's age in 12 years' time
= 4 u + 12
= 4 x 6 + 12
= 24 + 12
= 36
Answer(s): 36
