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
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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) (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
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