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Suppose that \(\begin{array}{@{}c@{\;}c@{}c@{}c} && &P_b \\ & \times & & P_b \\ & & Q & P_b, \\ \end{array} \) where P, Q, and b represent three distinct digits 1-9. If\(Q=\frac{P}{2}\), and P is two less than b, what is the value of the digit P?

(b means base b)

Sorry about the latex, don't know how to do a horizontal line. ( Please help)

 Dec 16, 2018
edited by MathCuber  Dec 16, 2018
edited by MathCuber  Dec 17, 2018
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The digit P is 2.

 Dec 3, 2019

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