A fraction becomes 9/11 if 2 is added to both numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes 5/6. Find the fraction.

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Solution

Let the numerator and denominator of the fraction be x and y respectively. Then the fraction is

If 2 is added to both numerator and the denominator, the fraction becomes. Thus, we have

If 3 is added to both numerator and the denominator, the fraction becomes. Thus, we have

So, we have two equations

Here x and y are unknowns. We have to solve the above equations for x and y.

By using cross-multiplication, we have

Hence, the fraction is.

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A fraction becomes $\frac{9}{11}$ if $2$ is added to both the numerator and the denominator. If $3$ is added to both the numerator and the denominator, it becomes $\frac{5}{6}$ . Find the fraction.

A fraction becomes $\frac{9}{11}$ , if 2 is added to both the numerator and the denominator. If, 3 is added to both the numerator and the denominator it becomes $\frac{5}{6}$ . Find the fraction. [3 MARKS]

A fraction becomes 9/11 , 2 is added to both numerator and denominator. If 3 is added to both the numerator and denominator it becomes 5/6. Find the fraction

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