Question 64

The numerator and denominator of a fraction is in the ratio 2:3. If 6 are subtracted from the numerator the value of the fraction becomes $$\frac{2}{3}$$ of the original fraction. The numerator of the original fraction is,

Solution

Let the numerator be 2x and the denominator be 3x. On subtracting 6 from the numerator, we get the equation as:

On solving this, we get x = 9 and the numerator as 18.

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