2015 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10

Problem

Solve $\underbrace{\overline{aa\ldots a}}_{\text{2k}} - \underbrace{\overline{bb\ldots b}}_{\text{k}}=(\underbrace{\overline{cc\ldots c}}_{\text{k}})^2$ , where $(\underbrace{\overline{cc\ldots c}}_{\text{k}}$ denotes a number with $k$ digits each one equal to $c$ .

2015 UNM-PNM Contest II (Problems • Answer Key • Resources)
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2015 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 10

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