Question

The two numbers whose sum is 100 and the ratio between A.M. and G.M. is 5 : 4, is ​

Answer 1

Answer:

Let the numbers be x and 100-x.

Their AM = (x+100-x)/2 = 50

Their GM = [x(100-x)]^0.5

If the ratio of their AM and GM is 5:4, The square of the same ratio = 25:16.

Thus 50^2/[x(100-x)] = 25/16, or

25x(100-x) = 2500*16, or

x(100-x) = 1600, or

x^2–100x+1600 = 0

(x-80)(x-20) = 0

x = 80 or 20

So the two numbers are 80 and 20.

Check: AM of 80 and 20 = (80+20)/2 = 50. Correct.

GM of 80 and 20 = (80*20)^0.5 = 40. Correct.

Step-by-step explanation:

Like my answer

Hope it's help you

Mark me brainliest thanks