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Find two positive numbers a and b, whose...

Find two positive numbers a and b, whose
(i) AM = 25 and GM = 20 (ii) AM = 10 and GM = 8.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(a=40 and b=10) or (a=10 and b=40)`
(ii) `(a=16 and b=4) or (a=4 and b=16)`
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Knowledge Check

  • The A.M. between two positive numbers exceeds the GM by 5, and the GM exceeds the H.M. by 4. Then the numbers are-

    A
    10,40
    B
    10,20
    C
    20,40
    D
    10,50

  • If the A.M of two positive numbers a and b, (a gt b) is twice their G.M. , then a:b is :

    A
    a)`2: sqrt3`
    B
    b)`2:7 + 4sqrt3`
    C
    c)`2+ sqrt3 : 2-sqrt3`
    D
    d)`7+4sqrt3 :7-4sqrt3`

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