SOLUTION: A CERTAIN NUMBER IS ADDED TO THE NUMERATOR AND SUBTRACTED FROM THE DENOMINATOR OF 5/8. THE NEW FRACTION EQUALS THE RECIPROCAL OF 5/8.FIND THE NUMBER......PLEASE HELP

Algebra ->  Real-numbers -> SOLUTION: A CERTAIN NUMBER IS ADDED TO THE NUMERATOR AND SUBTRACTED FROM THE DENOMINATOR OF 5/8. THE NEW FRACTION EQUALS THE RECIPROCAL OF 5/8.FIND THE NUMBER......PLEASE HELP      Log On


   



Question 582272: A CERTAIN NUMBER IS ADDED TO THE NUMERATOR AND SUBTRACTED FROM THE DENOMINATOR OF 5/8. THE NEW FRACTION EQUALS THE RECIPROCAL OF 5/8.FIND THE NUMBER......PLEASE HELP
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
%285%2Bx%29%2F%288-x%29=8%2F5
cross multiply
5(5+x)=8(8-x)
25+5x=64-8x
5x+8x=64-25
13x=39
/13
x= 3