Hello Everyone. I need help starting this problem. I do not need anyone to do it all for me. Im just looking for some help getting pointed in the right direction. Thanks.

If we write a number in a base other than base 10 (how we usually write numbers),

it is customary to write the base as a subscript as a clarification. For example,

345(

16) signifies the number 345 in base 16. If we convert this to base 10, we find

that this is equal to 837. In other words 345(16) = 837(10).

Problem:

Find all three digit sequences XY Z and two digit sequences AB such

that AB(16) = XY Z(10) and AB(10) = XY Z(8).