The ratio of Seth's age to Reggie's age is 7 : 1. Next year, their average age will be 17. How old will Seth be in 7 years' time?
|
Seth |
Reggie |
Total |
Before |
7 u |
1 u |
32 |
Change |
+ 1 |
+ 1 |
|
After |
7 u + 1 |
1 u + 1 |
34 |
Total age of Seth and Reggie this year
= 7 u + 1 u
= 8 u
Total age of Seth and Reggie this year
= 2 x 17 - 1 - 1
= 34 - 2
= 32
8 u = 32
1 u = 32 ÷ 8 = 4
Seth's age in 7 years' time
= 7 u + 7
= 7 x 4 + 7
= 28 + 7
= 35
Answer(s): 35