The AM of two observations is 25, and GM is 15. Find the two observations and their HM.

Given that the arithmetic mean (AM) of two observations is 25 and the geometric mean (GM) is 15, we can find the two observations and their harmonic mean (HM).

### Step 1: Set up the equations
Let the two observations be \( x \) and \( y \).

The arithmetic

Discover how to find two observations from given arithmetic mean (AM) and geometric mean (GM) values. Solve for the two observations and their harmonic mean (HM) with step-by-step guidance. Suitable for advanced high school students.

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