Question

In a rational number, twice the numerator is 2 more than the denominator. If 3 is added to each
the numerator and the denominator, the new fraction is
2/3 find the orginal number​

Answer 1

Answer:

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Step-by-step explanation:

Let the numerator be x Denominator = 2x − 2 Therefore the fraction = x/2x − 2 Given 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.