Math, asked by nikku45773, 1 month ago

Find two positive numbers a and b Whose Am =25 and Gm=20​

Answers

Answered by mishtichak
0

Answer:

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Step-by-step explanation:

Given: A.M = 25, G.M = 20.

G.M = √ab

A.M = (a + b)/2

So, √ab = 20 …….

(

1) (a + b)/2 = 25…….

(2) a + b = 50 a = 50 – b

Putting the value of ‘a’ in equation (1),

we get, √[(50 - b)b] =

20 50b – b2

= 400 b2 – 50b + 400

= 0 b2 – 40b – 10b + 400

= 0 b(b – 40) – 10(b – 40) = 0 b

=40 or b = 10

If b = 40 then a = 10 If

b = 10 then a = 40

∴ The numbers are 10 and 40.

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