Base of number base

There is a number aa, which can be written as xyz\overline{xyz} in base 9 and zyx\overline{zyx} in base 6, for some positive integer x,y,zx,y,z. Find x+y+zx+y+z.

Details and Assumption

xyz \overline{xyz} represents reading the digits together, instead of multiplying them out. For example, xyz9=81x+9y+z \overline{xyz}_9 = 81 x + 9y + z and zyx6=36z+6y+x \overline{zyx}_6 = 36 z + 6y + x .

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