The arithmetic mean of two positive numbers is `6` and their geometric mean `G` and harmonic mean `H` satisfy the relation `G^(2)+3H=48`. Then the pro

Question

The arithmetic mean of two positive numbers is `6` and their geometric mean `G` and harmonic mean `H` satisfy the relation `G^(2)+3H=48`. Then the pro

The arithmetic mean of two positive numbers is `6` and their geometric mean `G` and harmonic mean `H` satisfy the relation `G^(2)+3H=48`. Then the product of the two numbers is
A. `24`
B. `32`
C. `48`
D. `54`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`(b)` `a+b=12`
`ab+(6ab)/(a+b)=48`
`:.ab+(ab)/(2)=48`
`:.ab=32`

5 views Answered 2023-02-05 15:29