The ratio of Archie's age to Rael's age is 8 : 3. Next year, their average age will be 23. How old will Archie be in 5 years' time?
| |
Archie |
Rael |
Total |
| Before |
8 u |
3 u |
44 |
| Change |
+ 1 |
+ 1 |
|
| After |
8 u + 1 |
3 u + 1 |
46 |
Total age of Archie and Rael this year
= 8 u + 3 u
= 11 u
Total age of Archie and Rael this year
= 2 x 23 - 1 - 1
= 46 - 2
= 44
11 u = 44
1 u = 44 ÷ 11 = 4
Archie's age in 5 years' time
= 8 u + 5
= 8 x 4 + 5
= 32 + 5
= 37
Answer(s): 37
