SOLUTION: If the numerator of a fraction is increased by 1, the value of the resulting fraction is 2/3. If the numerator and the denominator are both increased by 5, the value of the resulti

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: If the numerator of a fraction is increased by 1, the value of the resulting fraction is 2/3. If the numerator and the denominator are both increased by 5, the value of the resulti      Log On


   

Question 1140497: If the numerator of a fraction is increased by 1, the value of the resulting fraction is 2/3. If the numerator and the denominator are both increased by 5, the value of the resulting fraction is 7/10. Find the original fraction.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
fraction is x/y
x+1/y=2/3
3x+3=2y; y=(3/2)x+3/2
x+5/y+5=7/10
7y+35=10x+50
10.5x+10.5+35=10x+50
0.5x=4.5
x=9
x+1=10
y=15
the fraction is 9/15. ANSWER
and 14/20=7/10