



 
Hi, Are you sure you have sent the entire question? The way it is worded it has many solutions, in fact infinitely many. Suppose the fraction is $\large \frac{a}{b}.$ If you increase the numerator by 6 and the denominator by 5 then you get $\large \frac{a+6}{b+5}.$ This new fraction is double the original and hence \[\frac{a+6}{b+5} = 2 \times \frac{a+6}{b+5}.\] Solve this equation to find $a$ in terms of $b.$ Now for whatever value of $b$ you choose this equation give a corresponding value of $a$ so that $\large \frac{a}{b}$ satisfies the condition you want. Penny 



Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 