The ratio of Valen's age to Brandon's age is 8 : 1. Next year, their average age will be 10. How old will Valen be in 6 years' time?
|
Valen |
Brandon |
Total |
Before |
8 u |
1 u |
18 |
Change |
+ 1 |
+ 1 |
|
After |
8 u + 1 |
1 u + 1 |
20 |
Total age of Valen and Brandon this year
= 8 u + 1 u
= 9 u
Total age of Valen and Brandon this year
= 2 x 10 - 1 - 1
= 20 - 2
= 18
9 u = 18
1 u = 18 ÷ 9 = 2
Valen's age in 6 years' time
= 8 u + 6
= 8 x 2 + 6
= 16 + 6
= 22
Answer(s): 22