Adam was 5 times as old as Bryan 10 years ago.
Their total present age is 50 years now.
- How old is Adam now?
- How many years is Adam older than Bryan?
- How old is Bryan in 5 years' time?
|
Adam |
Bryan |
Total |
10 years ago |
5 u |
1 u |
6 u |
Change |
+ 10 |
+ 10 |
+ 20 |
Present |
5 u + 10 |
1 u + 10 |
50 |
(a)
Total age of Adam and Bryan 10 years ago
= 50 - 20
= 30
10 years ago
Adam's age = 5 u
Bryan's age = 1 u
Total age of Adam and Bryan = 6 u
6 u + 20 = 50
6 u = 50 - 20 = 30
1 u = 30 ÷ 6 = 5
Adam's age now
= 5 u + 10
= 5 x 5 + 10
= 25 + 10
= 35
(b)
Number of years that Adam is older than Bryan
= 5 u - 1 u
= 4 u
= 4 x 5
= 20
(c)
Bryan's age in 5 years' time
= 1 u + 10 + 5
= 5 + 10 + 5
= 20
Answer(s): (a) 35; (b) 20; (c) 20