Find the smallest positive fraction x/y in lowest terms with x and y as integers so that when 7 is added to both the numerator/denominator of the fraction, the value of this new fraction equals the value of the original fraction (x/y) when 2 is subtracted from the numerator and 8 is subtracted from the denominator.

Question

anonymous · Answer

or in other words, $$\frac{x+7}{y+7}=\frac{x-2}{y-8}$$
find x/y with x and y as integers

anonymous · Answer

anyone?