Adam is 10 years old. The total age of Adam and Bryan is 50 years. How many years' time will the ratio of Adam's age to Bryan's age be 3 : 8?
|
Adam |
Bryan |
Total |
Difference |
Before |
10 |
40 |
50 |
30 |
Change |
+ ? |
+ ? |
|
|
After |
3 u |
8 u |
|
5 u |
Bryan's age
= 50 - 10
= 40
Difference in the age between Adam and Bryan
= 40 - 10
= 30
Difference in the age between Adam and Bryan in units
= 8 u - 3 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Adam's age now = 10
Adam's age after = 3 u = 3 x 6 = 18
Number of years' time
= 18 - 10
= 8
Answer(s): 8