



 
Hi Ashley, I can get you started. Suppose that
First notice that since abc_{7} is a legitimate base seven number, a, b and c are all nonnegative integers, less than 7. Now I want to convert both numbers to base 10, thus
or
Dividing through by 2 gives
8 divides both 24 and 40 so 8 divides b. But b is a nonnegative integer less than 7 so b = 0. Can you finish it now?  


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