The ratio of Michael's age to George's age is 7 : 1. Next year, their average age will be 17. How old will Michael be in 5 years' time?
| |
Michael |
George |
Total |
| Before |
7 u |
1 u |
32 |
| Change |
+ 1 |
+ 1 |
|
| After |
7 u + 1 |
1 u + 1 |
34 |
Total age of Michael and George this year
= 7 u + 1 u
= 8 u
Total age of Michael and George this year
= 2 x 17 - 1 - 1
= 34 - 2
= 32
8 u = 32
1 u = 32 ÷ 8 = 4
Michael's age in 5 years' time
= 7 u + 5
= 7 x 4 + 5
= 28 + 5
= 33
Answer(s): 33
