Let the two quantities be \( a \) and \( b \). We are given:
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- xy = 35
- Thus, the product of the number of these two types of atoms is \(oxed{35}\).
- An archaeologist is examining an ancient Mesopotamian tablet that records two quantities related to grain storage: their sum is 15, and their product is 50. Determine the sum of the squares of these two quantities.
- \( ab = 50 \)
- We want to find \( a^2 + b^2 \). Use the identity:
- a^2 + b^2 = 15^2 - 2 \cdot 50
