Adam is 54 years old.
Bryan is 22 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 |
54 |
22 |
32 |
(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
= 54 - 22
= 32
2 u = 32
1 u = 32 ÷ 2 = 16
Number of years' ago that Adam was 3 times as old as Bryan
= 22 - 16
= 6
(b)
Adam's age 6 years ago
= 3 u
= 3 x 16
= 48
Answer(s): (a) 6; (b) 48