A.M. = 5, G.M. = 4 [ \dfrac{x+y}{2}=5\implies x+y=10,\quad\sqrt{xy}=4\implies xy=16 ] [ t^2-10t+16=0\implies(t-8)(t-2)=0 ]
Answer: 2 and 8
11TH•Mathematics•Sequences And Series•Question 6
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The A.M. between two numbers is 5 and their (positive) G.M. is 4. Find the numbers.
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