Sandy and Sue each has between $1 and $1,000,000. The amount of money they each have is a non-zero positive integer whole number.

If Sue gives X amount of money to Sandy, they will each both have an equal amount of money.

If Sandy gives that same X amount of money to Sue, then Sue will have twice the amount of money as Sandy.

If you take the numerical representation of Sue’s amount of money and take the first leftmost digit and place that digit on the end of the numerical representation, that amount will be Sandy’s amount of money. (For example, if Sue has $1234, then Sandy has $2341).

What is the amount of money Sue and Sandy have? Solve for X.



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