Question

Find a three digit integer in base five that has the order of its digits reversed when multiplied by 2.

Answer 1

be the number

The condition is which must be equal to

Thus,

So that

Meaning where

We note that a solution to this is

And so, we have is the required number

Checking, we have

Twice this number is

Thus,

And so, we have

The required 3 digit number is

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