The repeating decimals 0.ababab and 0.abcabcabc satisfy

0 . a b a b \overline{a b}+0 . a b c a b c \overline{a b c}=\frac{33}{37}

where a, b, and c are (not necessarily distinct) digits. Find the three-digit number a b c.

The repeating decimals 0.ababab and 0.abcabcabc satisfy

0 . a b a b \overline{a b}+0 . a b c a b c \overline{a b c}=\frac{33}{37}

where a, b, and c are (not necessarily distinct) digits. Find the three-digit number a b c.