Math CentralQuandaries & Queries


Question from alex, a student:

In a certain fraction the number by n the denominator is greater than the number by3.If 2 is added to both the numerator and denominator ,the fraction is increased by 6/35..Find the fraction.

Hi Alex,

If the numerator is $n$ and the denominator is 3 more than the denominator, then the denominator is $n + 3$ and the fraction is then $\large \frac{n}{n + 3}.$

If you add 2 to each of the numerator and denominator what fraction do you get? This fraction is $\large \frac{6}{35}$ larger than $\large \frac{n}{n + 3}.$ Solve for $n.$


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