Prove that AB*4=CAB

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Solution

Well, a start could be to treat AB as a variable, AB=αAB=α and solve

4∗α=C∗100+α4∗α=C∗100+α

If this equation has no solutions where αα is a whole number with two digits, then the original statement is not possible since αα is AB, which is a whole number with two digits.

Oh, and C has to be between 0 and 9 too right?

Hope you got the idea

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