Adam is 23 years old. The total age of Adam and Bryan is 72 years. How many years ago was the ratio of Adam's age to Bryan's age 1 : 3?
|
Adam |
Bryan |
Total |
Difference |
Before |
1 u |
3 u |
|
2 u |
Change |
+ ? |
+ ? |
|
|
After |
23 |
49 |
72 |
26 |
Bryan's age
= 72 - 23
= 49
Difference in the age between Adam and Bryan
= 49 - 23
= 26
To find the number of years ago for the ratio of Adam's age to Bryan's age to be 1 : 3.
Adam's age = 1 u
Bryan's age = 3 u
Difference in the age
= 3 u - 1 u
= 2 u
2 u = 26
1 u = 26 ÷ 2 = 13
Adam's age then = 1 u = 13
Adam's age now = 23
Number of years ago
= 23 - 13
= 10
Answer(s): 10