SOLUTION: The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determin

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determin      Log On


   

Question 1063281: The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction.
Found 2 solutions by josgarithmetic, stanbon:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
n%2Fd the fraction


system%28n%2Bd=4%2B2n%2C%28n%2B3%29%2F%28d%2B3%29=2%2F3%29

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the numerator and denominator are increased by 3, they are in the ratio 2:3. Determine the fraction.
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Let the fraction be a/b
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Equations::
a + b = 2a + 4
(a+3)/(b+3) = 2/3
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Modify::
a = b-4
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Substitute for "a" and solve for "b"::
(b-4+3)/(b+3) = 2/3
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3b-3 = 2b+6
b = 9
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Solve for "a":
a = b-4
a = 5
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Ans: a/b = 5/9
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Cheers,
Stan H.
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