The ratio of Luke's age to Andy's age is 7 : 3. Next year, their average age will be 16. How old will Luke be in 3 years' time?
| |
Luke |
Andy |
Total |
| Before |
7 u |
3 u |
30 |
| Change |
+ 1 |
+ 1 |
|
| After |
7 u + 1 |
3 u + 1 |
32 |
Total age of Luke and Andy this year
= 7 u + 3 u
= 10 u
Total age of Luke and Andy this year
= 2 x 16 - 1 - 1
= 32 - 2
= 30
10 u = 30
1 u = 30 ÷ 10 = 3
Luke's age in 3 years' time
= 7 u + 3
= 7 x 3 + 3
= 21 + 3
= 24
Answer(s): 24
