SOLUTION:
The denominator of a fraction exceeds twice the numerator by 3. If the numerator is increased by 4 and the denominator is decreased by 3, the resulting fraction is 5 over 6. Find
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Question 701054:
The denominator of a fraction exceeds twice the numerator by 3. If the numerator is increased by 4 and the denominator is decreased by 3, the resulting fraction is 5 over 6. Find the original fraction.
Answer by checkley79(3341) (Show Source): You can put this solution on YOUR website!
X/(2X+3)
(X+4)/(2X+3-3)=5/6
(X+4)/(2X)=5/6 CROSS MULTIPLY
5*2X=6(X+4)
10X=6X+24
10X-6X=24
4X=24
X=24/4
X=6
2*6+3=15
6/15 IS THE ORIGINAL FRACTION.
PROOF:
(6+4)/(15-3)=5/6
10/12=5/6
5/6=5/6
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