Bryan was 3 times as old as Adam 30 years ago.
Their total present age is 80 years now.
- How old is Bryan now?
- How many years is Bryan older than Adam?
- How old is Adam in 20 years' time?
|
Bryan |
Adam |
Total |
30 years ago |
3 u |
1 u |
4 u |
Change |
+ 30 |
+ 30 |
+ 60 |
Present |
3 u + 30 |
1 u + 30 |
80 |
(a)
Total age of Bryan and Adam 30 years ago
= 80 - 60
= 20
30 years ago
Bryan's age = 3 u
Adam's age = 1 u
Total age of Bryan and Adam = 4 u
4 u + 60 = 80
4 u = 80 - 60 = 20
1 u = 20 ÷ 4 = 5
Bryan's age now
= 3 u + 30
= 3 x 5 + 30
= 15 + 30
= 45
(b)
Number of years that Bryan is older than Adam
= 3 u - 1 u
= 2 u
= 2 x 5
= 10
(c)
Adam's age in 20 years' time
= 1 u + 30 + 20
= 5 + 30 + 20
= 55
Answer(s): (a) 45; (b) 10; (c) 55