The sum of the numerator and the denominator of a fraction is 8. If 3 is added to both the numerator and the denominator, the fraction becomes $\frac{3}{4}$ . Find the fraction.

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Solution

Here we are assuming that numerator and denominator are x and y respectively, then fraction will be and we have to find the value of .
From the given condition,

x + y = 8…… (1)

If 3 are added in numerator and denominator then fraction will be, from this we have

Now, multiply the equation (1) by 3, we get

3x + 3y = 24…… (3)

Now we take the addition of equations (2) and (3), we get

Put the value of x in the equation (1), we have

Hence the fraction is

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The sum of the numerator and the denominator of a fraction is 8. If 3 is added to both the numerator and the denominator, the fraction becomes 34. Find the fraction.

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