Bryan is 68 years old.
Adam is 38 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 |
68 |
38 |
30 |
(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
= 68 - 38
= 30
2 u = 30
1 u = 30 ÷ 2 = 15
Number of years' ago that Bryan was 3 times as old as Adam
= 38 - 15
= 23
(b)
Bryan's age 23 years ago
= 3 u
= 3 x 15
= 45
Answer(s): (a) 23; (b) 45