Find two positive numbers a and b whose AM and GM are 25 and 20 respectively. please define with solution
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0
Answer:
Ans. The pilgrim built a bridge to span the tide, although he had already crossed the chasm. 2.
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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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