Two years ago, Ivan's age was 20% of Paul's age. Twelve years from their current age, Ivan's age will be 37.5% of Paul's age. How many years is Paul older than Ivan?
| |
Ivan |
Paul |
Difference |
| Before |
1x5 =
5 u |
5x5 =
25 u |
4x5 =
20 u |
| Change |
+ 2
+ 12 |
+ 2
+ 12 |
|
| After |
3x4 =
12 u |
8x4 =
32 u |
5x4 =
20 u |
20% =
20100 =
15 37.5% =
3751000 =
38The difference in the ages between Ivan and Paul remains unchanged. Make the difference the same. LCM of 4 and 5 is 20.
Increase in Ivan's age
= 12 u - 5 u
= 7 u
7 u = 2 + 12
7 u = 14
1 u = 14 ÷ 7 = 2
Number of years that Paul is older than Ivan
= 25 u - 5 u
= 20 u
= 20 x 2
= 40
Answer(s): 40
