Adam is 65 years old.
Bryan is 37 years old.
A few years ago, Adam was 3 times as old as Bryan.
- How many years ago was Adam 3 times as old as Bryan?
- How old was Adam then?
|
Adam |
Bryan |
Difference |
Before |
3 u |
1 u |
2 u |
Change |
+ ? |
+ ? |
|
After |
65 |
37 |
28 |
(a)
For Adam to be 3 times as old as Bryan,
Bryan's age = 1 u
Adam's age = 3 u
Difference in their age
= 3 u - 1 u
= 2 u
Age difference between Adam and Bryan
= 65 - 37
= 28
2 u = 28
1 u = 28 ÷ 2 = 14
Number of years' ago that Adam was 3 times as old as Bryan
= 37 - 14
= 23
(b)
Adam's age 23 years ago
= 3 u
= 3 x 14
= 42
Answer(s): (a) 23; (b) 42