boy on being asked what 16 by 17 of fraction was made the mistake of dividing the fractions by 16 by 17 and got an answer which exceeded the correct answer by 33 by 340 find the correct fractions
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A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is ?
let's take example of this question they are the same .
Let the fraction be N.
Then, N / (13/14) - (13/14) x N = 3/65
⇒ 14N/13 - 13N/14 = 3/65
⇒ (196N - 169N)/182 = 3/65
⇒ 27N/182 = 3/65
∴ N = (3 x 182) / (27 x 65) = 14/45
So, correct answer will be (13/14) x (14/45) = 13/45
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