The numerator of a rational number is 2 more than the denomenator .if 3 is addes to the numerator and the denomenator ,the new number so formed is 2/3. Find the original number.
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Let the numerator be x Denominator = 2x − 2
Therefore the fraction = x/2x − 2
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 = 7
Therefore the fraction is 7/12.
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