Adam is 22 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 1 : 5?
|
Adam |
Bryan |
Total |
Difference |
Before |
1 u |
5 u |
|
4 u |
Change |
+ ? |
+ ? |
|
|
After |
22 |
58 |
80 |
36 |
Bryan's age
= 80 - 22
= 58
Difference in the age between Adam and Bryan
= 58 - 22
= 36
To find the number of years ago for the ratio of Adam's age to Bryan's age to be 1 : 5.
Adam's age = 1 u
Bryan's age = 5 u
Difference in the age
= 5 u - 1 u
= 4 u
4 u = 36
1 u = 36 ÷ 4 = 9
Adam's age then = 1 u = 9
Adam's age now = 22
Number of years ago
= 22 - 9
= 13
Answer(s): 13