Three years ago, Justin's age was 25% of Ben's age. Nine years from their current age, Justin's age will be 37.5% of Ben's age. How many years is Ben older than Justin?
| |
Justin |
Ben |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 3
+ 9 |
+ 3
+ 9 |
|
| After |
3x3 =
9 u |
8x3 =
24 u |
5x3 =
15 u |
25% =
25100 =
14 37.5% =
3751000 =
38The difference in the ages between Justin and Ben remains unchanged. Make the difference the same. LCM of 3 and 5 is 15.
Increase in Justin's age
= 9 u - 5 u
= 4 u
4 u = 3 + 9
4 u = 12
1 u = 12 ÷ 4 = 3
Number of years that Ben is older than Justin
= 20 u - 5 u
= 15 u
= 15 x 3
= 45
Answer(s): 45
