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14. The numerator of a fraction is 2 less than the denominator. If 3 is added to both the numeratorand the denominator, the fraction becomes 3/4 Find the fraction.​

Answer»

Given:-

  • The numerator of a fraction is 2 less than the denominator.
  • If 3 is added to both the numerator and the denominator, the fraction becomes 3/4.

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To find:-

  • The fraction.

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Solution:-

LET,

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According to the question,

→ x + 3/x + 2 + 3 = 3/4

→ x + 3/x + 5 = 3/4

→ 4(x + 3) = 3(x + 5)

→ 4x + 12 = 3x + 15

→ 4x - 3x = 15 - 12

→ x = 3

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Hence,

  • the fraction is x/x + 2 = 3/5.


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