Question

The arithmetic mean between two number is 10 and the geometric mean is 8.find the two number

Answer 1

Answer:

Let two numbers are a and b

AM = (a+b)/2

a+b = 20 .............(1)

GM = √a×b

8 = √a×b

ab = 64

b = 36/a

put this value in eq (1)

a + 36/a = 20

a² - 20a + 36 =0

a²- 18a-2a+36 = 0

a(a-18)-2(a-18) = 0

a-18 = 0 or a-2 = 0

a = 18 b = 2

two numbers are 18 and 2

Hope you satisfied with my answer....

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