The ratio of Valen's age to Reggie's age is 6 : 5. Next year, their average age will be 12. How old will Valen be in 11 years' time?
|
Valen |
Reggie |
Total |
Before |
6 u |
5 u |
22 |
Change |
+ 1 |
+ 1 |
|
After |
6 u + 1 |
5 u + 1 |
24 |
Total age of Valen and Reggie this year
= 6 u + 5 u
= 11 u
Total age of Valen and Reggie this year
= 2 x 12 - 1 - 1
= 24 - 2
= 22
11 u = 22
1 u = 22 ÷ 11 = 2
Valen's age in 11 years' time
= 6 u + 11
= 6 x 2 + 11
= 12 + 11
= 23
Answer(s): 23