Mr Paul is 2 times as old as his nephew, Peter. 6 years ago, the ratio in the age of Mr Paul and Peter was 8 : 3. Find Mr Paul's current age.
| |
Mr Paul |
Peter |
Difference |
| Before |
8x1 =
8 u |
3x1 =
3 u |
5x1 =
5 u |
| Change |
+ 6 |
+ 6 |
|
| After |
2x5 =
10 u |
1x5 =
5 u |
1x5 =
5 u |
The difference in the age of Mr Paul and Peter at first and in the end remains unchanged. Make the difference in age the same. LCM of 5 and 1 is 5.
The increase in the age of Mr Paul and Peter is the same.
Increase in Peter's age
= 5 u - 3 u
= 2 u
2 u = 6
1 u = 6 ÷ 2 = 3
Mr Paul's current age
= 10 u
= 10 x 3
= 30
Answer(s): 30
