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Sum of n Terms

The A.M and G...

Question

The A.M and G.M of two positive numbers are 10 and 8 respectively, then two numbers are

A

4 and 16

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B

2 and 18

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C

6 and 14

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D

5 and 15

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Solution

The correct option is A
4 and 16

$\frac{a + b}{2} = \sqrt{a b} = 8$

Solving a, b = 4, 16

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