SOLUTION: Please help solve this problem: The numerator of a fraction is 15 less than twice its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the n

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help solve this problem: The numerator of a fraction is 15 less than twice its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the n      Log On


   

Question 1119592: Please help solve this problem: The numerator of a fraction is 15 less than twice its denominator. If the numerator is increased by 5 and the denominator is increased by 7, the new fraction will be equal to 2/3. What is the original fraction?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the denominator of the original fraction. Then the numerator of the original fraction must be . Hence the original fraction must be . If you increase the numerator by 5 you get and if you increase the denominator by 7, you get , so the new fraction is , and this fraction must be equal to . So:



Solve for and then calculate to obtain the values required to reconstruct the original fraction.


John

My calculator said it, I believe it, that settles it