The ratio of Sam's age to Vincent's age is 5 : 3. Next year, their average age will be 17. How old will Sam be in 12 years' time?
| |
Sam |
Vincent |
Total |
| Before |
5 u |
3 u |
32 |
| Change |
+ 1 |
+ 1 |
|
| After |
5 u + 1 |
3 u + 1 |
34 |
Total age of Sam and Vincent this year
= 5 u + 3 u
= 8 u
Total age of Sam and Vincent this year
= 2 x 17 - 1 - 1
= 34 - 2
= 32
8 u = 32
1 u = 32 ÷ 8 = 4
Sam's age in 12 years' time
= 5 u + 12
= 5 x 4 + 12
= 20 + 12
= 32
Answer(s): 32
