Five years ago, Henry's age was 25% of Zeph's age. Three years from their current age, Henry's age will be 37.5% of Zeph's age. How many years is Zeph older than Henry?
| |
Henry |
Zeph |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 5
+ 3 |
+ 5
+ 3 |
|
| After |
3x3 =
9 u |
8x3 =
24 u |
5x3 =
15 u |
25% =
25100 =
14 37.5% =
3751000 =
38The difference in the ages between Henry and Zeph remains unchanged. Make the difference the same. LCM of 3 and 5 is 15.
Increase in Henry's age
= 9 u - 5 u
= 4 u
4 u = 5 + 3
4 u = 8
1 u = 8 ÷ 4 = 2
Number of years that Zeph is older than Henry
= 20 u - 5 u
= 15 u
= 15 x 2
= 30
Answer(s): 30
