Question

In a fraction, twice the numerator is 2 more than the denominator. If 3 is added to the numerator and to the denominator, the new fraction is 2/3. Find the original fraction




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Answer 1

Answer:

Given when 3 is added to both the numerator and denominator, the fraction becomes 2/3. Therefore the fraction is 7/12.

Answer 2

Answer:

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:-

$\small{(x + 3)/(2x − 2 + 3) = 2/3 ⇒ (x + 3)/(2x + 1) = 2/3 ⇒ 3x + 9 = 4x + 2 ⇒ x = 7}$

Therefore the fraction is 7/12.

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