Question 127

The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and the denominator is increased by 1, then the denominator becomes eight times the numerator. Find the fraction.

Solution

Let's say $$x$$ is denominator, Hence numerator will be $$x-4$$
Now after decreasing numerator by 2 , it will be $$x-6$$ and increasing denominator by 1 , it will be $$x+1$$
So $$8(x-6) = x+1 $$
$$x$$ = 7
And fraction will be = $$\frac{3}{7}$$


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