Adam is 28 years old. The total age of Adam and Bryan is 80 years. How many years ago was the ratio of Adam's age to Bryan's age 2 : 5?
|
Adam |
Bryan |
Total |
Difference |
Before |
2 u |
5 u |
|
3 u |
Change |
+ ? |
+ ? |
|
|
After |
28 |
52 |
80 |
24 |
Bryan's age
= 80 - 28
= 52
Difference in the age between Adam and Bryan
= 52 - 28
= 24
To find the number of years ago for the ratio of Adam's age to Bryan's age to be 2 : 5.
Adam's age = 2 u
Bryan's age = 5 u
Difference in the age
= 5 u - 2 u
= 3 u
3 u = 24
1 u = 24 ÷ 3 = 8
Adam's age then = 2 u = 16
Adam's age now = 28
Number of years ago
= 28 - 16
= 12
Answer(s): 12