The ratio of Howard's age to Carl's age is 5 : 3. Next year, their average age will be 13. How old will Howard be in 12 years' time?
|
Howard |
Carl |
Total |
Before |
5 u |
3 u |
24 |
Change |
+ 1 |
+ 1 |
|
After |
5 u + 1 |
3 u + 1 |
26 |
Total age of Howard and Carl this year
= 5 u + 3 u
= 8 u
Total age of Howard and Carl this year
= 2 x 13 - 1 - 1
= 26 - 2
= 24
8 u = 24
1 u = 24 ÷ 8 = 3
Howard's age in 12 years' time
= 5 u + 12
= 5 x 3 + 12
= 15 + 12
= 27
Answer(s): 27