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If AAA_4 can be expressed as 33_b, where A is a digit in base 4 and b is a base greater than 5, what is the largest possible sum A+b?

 May 28, 2021
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16A + 4A + A = 3b + 3

 

If A = 1, b = 6. 

If A = 2, b = 13. 

If A = 3, b = 20

 

3 + 20 = 23

 

=^._.^=

 May 28, 2021

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