The denominator of a fraction is four more than three times the numerator. If both numerator and denominator are increased by fo ur, the simplified result is 9/25. Find the original fraction. (Do NOT simplify.)
1 answer:
Let the numerator = x. Then,
The fraction is x/(3x+4).
If both the numerator and denominator are increased by 4, the fraction will be (x+4)/(3x+8), which, according to the question is equal to 9/25. So,
(x+4)/(3x+8) = 9/25
25(x+4) = 9(3x+8)
25x + 100 = 27x + 72
2x = 28
x = 14
Thus, the numerator is 14 and the denominator is (3*14 + 4), which is equal to 46. So the fraction is 14/46.
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