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In a fraction, twice the numerator is two more thanthe denominator. If3 is added to the numerator andthe denominator each, then the resultant fractionwill be 2/3. What is the original fraction?60. |
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Answer» Let the numerator be xDenominator = 2x− 2Therefore the fraction = x/2x− 2Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3.Hence (x + 3)/(2x− 2 + 3) = 2/3⇒(x + 3)/(2x + 1) = 2/3⇒3x + 9 = 4x + 2⇒ x = 7Therefore the fraction is 7/12. |
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