Math, asked by saiyammallick83, 22 hours ago

Find two positive numbers a and b whose AM and GM are 25 and 20 respectively. please define with solution​

Answers

Answered by umeshkumaryadav842
0

Answer:

Ans. The pilgrim built a bridge to span the tide, although he had already crossed the chasm. 2.

Answered by siddhipatil128
0

Answer:

The numbers are 10 and 40.

Step-by-step explanation:

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

G.M = √ab A.M = (a + b)/2 So,

√ab = 20

(a + b)/2 =

25 a + b = 50 a =

50 – b

Putting the value of ‘a’ in equation 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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