Five years ago, Xavier's age was 10% of Japheth's age. Seventeen years from their current age, Xavier's age will be 37.5% of Japheth's age. How many years is Japheth older than Xavier?
| |
Xavier |
Japheth |
Difference |
| Before |
1x5 =
5 u |
10x5 =
50 u |
9x5 =
45 u |
| Change |
+ 5
+ 17 |
+ 5
+ 17 |
|
| After |
3x9 =
27 u |
8x9 =
72 u |
5x9 =
45 u |
10% =
10100 =
110 37.5% =
3751000 =
38The difference in the ages between Xavier and Japheth remains unchanged. Make the difference the same. LCM of 9 and 5 is 45.
Increase in Xavier's age
= 27 u - 5 u
= 22 u
22 u = 5 + 17
22 u = 22
1 u = 22 ÷ 22 = 1
Number of years that Japheth is older than Xavier
= 50 u - 5 u
= 45 u
= 45 x 1
= 45
Answer(s): 45
