The ratio of Daniel's age to Tim's age is 8 : 5. Next year, their average age will be 14. How old will Daniel be in 4 years' time?
|
Daniel |
Tim |
Total |
Before |
8 u |
5 u |
26 |
Change |
+ 1 |
+ 1 |
|
After |
8 u + 1 |
5 u + 1 |
28 |
Total age of Daniel and Tim this year
= 8 u + 5 u
= 13 u
Total age of Daniel and Tim this year
= 2 x 14 - 1 - 1
= 28 - 2
= 26
13 u = 26
1 u = 26 ÷ 13 = 2
Daniel's age in 4 years' time
= 8 u + 4
= 8 x 2 + 4
= 16 + 4
= 20
Answer(s): 20