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      Question

      In a fraction, three times the numerator is five more

      than twice the denominator. If 3 is added to the numerator and denominator, the new fraction formed is 3/4. Find the original fraction.
      A 17/23 Correct Answer Incorrect Answer
      B 12/17 Correct Answer Incorrect Answer
      C 31/41 Correct Answer Incorrect Answer
      D 21/29 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let: Numerator = x, Denominator = y Given: 3x = 2y+5

      From 2nd equation: 4(x+3)=3(y+3)⇒4x−3y=−3 — (Eq A) From 1st: 3x−2y=5 — (Eq B) Solve Eq A & B: → y = 29 → x = 21 Hence, Original fraction = 21/29

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