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The numerator and denominator of a fraction are in the ratio 3 ∶ 4. If 12 is added to the denominator, the resultant fraction becomes 2/3 of the original function. What is the denominator of the original function?

The numerator and denominator of a fraction are in the ratio 3 ∶ 4. If 12 is added to the denominator, the resultant fraction becomes 2/3 of the original function. What is the denominator of the original function? Correct Answer 24

Let, the numerator = 3x

The denominator = 4x

According to the question,

⇒ 3x/(4x + 12) = 3x/4x × 2/3

⇒ 3x/(4x + 12) = 1/2

⇒ 6x = 4x + 12

⇒ 2x = 12

⇒ x = 6

∴ Denominator of the original function = 4 × 6 = 24

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