# Too many bases

${ \left( 01 \right) }_{ 2 }+{ \left( 34 \right) }_{ 5 }+{ \left( 67 \right) }_{ 8 }\quad =\quad { \left( \overline { AB } \right) }_{ 9 }$

What are the digits $$A$$ and $$B$$ that satisfy the above relation?

Details and Assumptions:

• $$\left( 34 \right)_5$$ represents a number, say $$34$$, in base $$5$$
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