base mathematics

jmich79

When fractions F1 and F2 are written as base n decimals, F1=(.7373)base n and F2=(.3737)base n. In base m, F1=(.5252)base m and F2=(.2525) base m. Find (m+n). No trial and error please.
I tried to solve this by solving simult. equations but im not able to complete it. Cna anybody solve this problem for me?