The ratio of Michael's age to Zane's age is 4 : 3. Next year, their average age will be 15. How old will Michael be in 12 years' time?
|
Michael |
Zane |
Total |
Before |
4 u |
3 u |
28 |
Change |
+ 1 |
+ 1 |
|
After |
4 u + 1 |
3 u + 1 |
30 |
Total age of Michael and Zane this year
= 4 u + 3 u
= 7 u
Total age of Michael and Zane this year
= 2 x 15 - 1 - 1
= 30 - 2
= 28
7 u = 28
1 u = 28 ÷ 7 = 4
Michael's age in 12 years' time
= 4 u + 12
= 4 x 4 + 12
= 16 + 12
= 28
Answer(s): 28