Question:medium
The A.M. and G.M. of two positive real numbers $a$ and $b$ ($a > b$) are $A$ and $G$ respectively. If $A:G = 5:3$, then $(a^2 + b^2) : ab = $
The A.M. and G.M. of two positive real numbers $a$ and $b$ ($a > b$) are $A$ and $G$ respectively. If $A:G = 5:3$, then $(a^2 + b^2) : ab = $
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When asked for ratios of squares and products like $(a^2+b^2)/ab$, always start by squaring the expression for $(a+b)/\sqrt{ab}$ or $(a-b)/\sqrt{ab}$.
Updated On: Jun 24, 2026
- 83:9
- 82:9
- 83:6
- 82:7
- 9:1
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The Correct Option is B
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