Excel in math, science, and engineering

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\[\Large \square \square = \square + \square + \square + \square + \square + \square + \square\]

Can we fill all boxes with distinct nonzero digit to make the above equation true?

\[\begin{cases} A = \dfrac{1}{1\times 2 } + \dfrac{1}{3 \times 4} + \dfrac 1{5 \times 6} + \cdots + \dfrac{1}{99 \times 100} \\ B= \dfrac{1}{51 \times 100} + \dfrac{1}{52 \times 99} + \dfrac 1{53 \times 98} + \cdots + \dfrac{1}{100 \times 51} \end{cases} \]

10 women are sitting around a table. Each women thinks of a number, and tells it to her neighbors. Then each person calculates the avarage of the two numbers of ...

Which is larger: \(222^{333}\) or \(333^{222}\)?

The figure below shows a quadrilateral with all the side lengths given--30, 9, 13, 28. The line drawn from the top vertex to the bottom side (with length 28) has ...

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