Bryan is 53 years old.
Adam is 37 years old.
A few years ago, Bryan was 3 times as old as Adam.
- How many years ago was Bryan 3 times as old as Adam?
- How old was Bryan then?
|
Bryan |
Adam |
Difference |
Before |
3 u |
1 u |
2 u |
Change |
+ ? |
+ ? |
|
After |
53 |
37 |
16 |
(a)
For Bryan to be 3 times as old as Adam,
Adam's age = 1 u
Bryan's age = 3 u
Difference in their age
= 3 u - 1 u
= 2 u
Age difference between Bryan and Adam
= 53 - 37
= 16
2 u = 16
1 u = 16 ÷ 2 = 8
Number of years' ago that Bryan was 3 times as old as Adam
= 37 - 8
= 29
(b)
Bryan's age 29 years ago
= 3 u
= 3 x 8
= 24
Answer(s): (a) 29; (b) 24