SOLUTION: The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are increased by eight, the simplified result is 10/19. Find the original fra

Algebra ->  Rational-functions -> SOLUTION: The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are increased by eight, the simplified result is 10/19. Find the original fra      Log On


   

Question 1054720: The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are increased by eight, the simplified result is 10/19. Find the original fraction. (Do NOT simplify.)
Found 2 solutions by Fombitz, MathTherapy:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A%2F%282A%2B5%29 is the original fraction.
.
.
%28A%2B8%29%2F%282A%2B5%2B8%29=10%2F19
%28A%2B8%29%2F%282A%2B13%29=10%2F19
19%28A%2B8%29=10%282A%2B13%29
19A%2B152=20A%2B130
-A=-12
A=12
So the original fraction is,
12%2F%282%2812%29%2B15%29=12%2F39

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are increased by eight, the simplified result is 10/19. Find the original fraction. (Do NOT simplify.)
Original fraction: highlight_green%2822%2F49%29