Five years ago, Japheth's age was 25% of Brandon's age. Seven years from their current age, Japheth's age will be 37.5% of Brandon's age. How many years is Brandon older than Japheth?
| |
Japheth |
Brandon |
Difference |
| Before |
1x5 =
5 u |
4x5 =
20 u |
3x5 =
15 u |
| Change |
+ 5
+ 7 |
+ 5
+ 7 |
|
| After |
3x3 =
9 u |
8x3 =
24 u |
5x3 =
15 u |
25% =
25100 =
14 37.5% =
3751000 =
38The difference in the ages between Japheth and Brandon remains unchanged. Make the difference the same. LCM of 3 and 5 is 15.
Increase in Japheth's age
= 9 u - 5 u
= 4 u
4 u = 5 + 7
4 u = 12
1 u = 12 ÷ 4 = 3
Number of years that Brandon is older than Japheth
= 20 u - 5 u
= 15 u
= 15 x 3
= 45
Answer(s): 45
