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Q.

The denominator of an irreducible faction is greater than the numerator by 2 . If we reduce the numerator of the re caporal fraction by 3 and subtract the given fraction from the resulting one we

get Find the given fraction.

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Detailed Solution

 Let x = numerator of given fraction and then x + 2 = denominator.
 given fraction and we have
 ⇒ New fraction
  ⇒
 ⇒ 15(x + 2)(x – 1) – 15 x(x) = x(x + 2)
 ⇒ x2 + 13 – 30 = 0
 ⇒ (x – 10)(x – 3) = 0
 ⇒ x = 10 or x = 3
 If x = 10 the faction can be reduced.
  If x = 3 then fraction
                              
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