# Progressions - 1

Algebra Level 2

The Harmonic Mean of two numbers $$a,b$$ is 4. It is also given that $$2A + G^2 = 27$$.

• $$A$$ represents Arithmetic Mean of $$a,b$$ and $$G$$ represents Geometric Mean of $$a,b$$.

Find the numbers $$a, \space b$$ .

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