Question

Choose correct option with explanation​

Answer 1

Answer:

(c) 12

Step-by-step explanation:

Let those numbers are a and b.

Here,

Geometric mean = 8

= > √ab = 8

= > ab = 8^2 = 64

= > 2ab = 128

Arithmetic mean = 10

= > ( a + b ) / 2 = 10

= > a + b = 20

Square on both sides:

= > ( a + b )^2 = 20^2

= > a^2 + b^2 + 2ab = 400

= > a^2 + b^2 + 128 = 400

= > a^2 + b^2 = 272

= > a^2 + b^2 - 2ab = 272 - 2ab

= > ( a - b )^2 = 272 - 128

= > ( a - b )^2 = 144

= > a - b = 12

= > a = 12 + b

Hence first number exceeds the other one by 12.