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The arithmetic mean and geometric mean of two numbers are 7 and 2√10 respectively, then find the numbers.

A2, 20

B5, 4

C4,10

D8, 5

Answer:

C. 4,10

Read Explanation:

Let the two numbers be a and b.

According to the question

(a + b) / 2 = 7

$\Rightarrow (a + b) = 14 $------(1)

$\sqrt{ab} = 2\sqrt{10}$

$\Rightarrow ab = 4 \times 10$

$\Rightarrow ab = 40 $----------(2)

From option, Put a = 4 and b = 10

then the condition is satisfied. So, the two numbers are 4 and 10.


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