SOLUTION: x represents an even number. x+2 represents the next even number. If one third of the smaller even number is subtracted from half of the larger even number, the result is 8. Fin

Algebra ->  Finance -> SOLUTION: x represents an even number. x+2 represents the next even number. If one third of the smaller even number is subtracted from half of the larger even number, the result is 8. Fin      Log On


   

Question 1110237: x represents an even number. x+2 represents the next even number.
If one third of the smaller even number is subtracted from half of the larger even number, the result is 8. Find the value of x
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
x represents an even number. x+2 represents the next even number.
If one third of the smaller even number is subtracted from half of the larger even number, the result is 8. Find the value of x
:
1%2F2(x+2) - 1%2F3x = 8
clear the denominators, multiply equation by 6
6*1%2F2(x+2) - 6*1%2F3x = 6(8)
cancel the denominators
3(x+2) - 2x = 48
distribute the 3
3x + 6 - 2x = 48
3x - 2x = 48 - 6
x = 42
:
:
See if that works
1%2F2(44) - 1%2F3(42) = 8
22 - 14 = 8