The denominator of a rational number is greater than its numerator by 7. If 3 is subtracted from the numerator and 2 is added to its denominator,the New number becomes 1/5. find the rational number.

The denominator of a rational number is greater than its numerator by

1.	The denominator of a rational number is greater than its numerator by 7. If 3 is subtracted from the numerator and 2 is added to its denominator,the New number becomes 1/5. find the rational number.
Answer» Step-by-step explanation:Denominator of the rational number is greater than the numerator by 7If 3 is subtracted from the numerator and 2 is added to the denomiantor, the number becomes 1/5The rational number⇝ Let the numerator of the fraction be x.⇝ By given, Denominator = Numerator + 7 Denominator = x + 7⇝ Hence the fraction is, ⇝ By given, SUBTRACTING 3 from the numerator and adding 2 to the denominator, the fraction becomes 1/5.⇝ Hence, ⇝ Simplifying, ⇝ CROSS multiplying, 5(x - 3) = 1 (x + 9) 5x - 15 = x + 9 5x - x = 9 + 15 4X = 24 x = 24/4 x = 6⇝ Hence the numerator of the fraction is 6.⇝ Now , Denominator = x + 7 Denominator = 6 + 7 = 13⇝ Hence the denominator of the fraction is 13.⇝ Therefore the fraction is 6/13. ⇝ Denominator = Numerator + 7 13 = 6 + 7 13 = 13⇝ Subtracting 3 from the numerator and adding 2 to the denominator, the fraction becomes 1/5. 3/15 = 1/5 1/5 = 1/5⇝ Hence VERIFIED.

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The denominator of a rational number is greater than its numerator by 7. If 3 is subtracted from the numerator and 2 is added to its denominator,the New number becomes 1/5. find the rational number.​

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The denominator of a rational number is greater than its numerator by 7. If 3 is subtracted from the numerator and 2 is added to its denominator,the New number becomes 1/5. find the rational number.