The ratio of Liam's age to Seth's age is 5 : 3. Next year, their average age will be 17. How old will Liam be in 8 years' time?
|
Liam |
Seth |
Total |
Before |
5 u |
3 u |
32 |
Change |
+ 1 |
+ 1 |
|
After |
5 u + 1 |
3 u + 1 |
34 |
Total age of Liam and Seth this year
= 5 u + 3 u
= 8 u
Total age of Liam and Seth this year
= 2 x 17 - 1 - 1
= 34 - 2
= 32
8 u = 32
1 u = 32 ÷ 8 = 4
Liam's age in 8 years' time
= 5 u + 8
= 5 x 4 + 8
= 20 + 8
= 28
Answer(s): 28