The ratio of Sam's age to Tommy's age is 2 : 1. Next year, their average age will be 16. How old will Sam be in 11 years' time?
|
Sam |
Tommy |
Total |
Before |
2 u |
1 u |
30 |
Change |
+ 1 |
+ 1 |
|
After |
2 u + 1 |
1 u + 1 |
32 |
Total age of Sam and Tommy this year
= 2 u + 1 u
= 3 u
Total age of Sam and Tommy this year
= 2 x 16 - 1 - 1
= 32 - 2
= 30
3 u = 30
1 u = 30 ÷ 3 = 10
Sam's age in 11 years' time
= 2 u + 11
= 2 x 10 + 11
= 20 + 11
= 31
Answer(s): 31