Latest M4maths Aptitude Question SOLUTION: the difference between two numbers is 48. the difference between the arithmetic mean and geometric mean of the numbers is 18. find the numbers

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(#M40165394) M4MATHS Numerical Ability question difference between numbers Keep an EYE

the difference between two numbers is 48. the difference between the arithmetic mean and geometric mean of the numbers is 18. find the numbers

Asked In M4maths kasyam gurulakshmi (5 years ago)

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Devendra Marghade  (5 years ago)

1, 49

Let the numbers be x and (x+48), then
Arithmetic Mean = [x+(x+48)] / 2 = x+24 and
Geometric Mean = √x(x+48) = √(48x+x²)
Difference of arithmetic mean & geometric mean = x+24 - √(48x+x²) = 18
=> x+6 = √(48x+x²)
=> (x+6)² = 48x+x²
=> x² + 12x + 36 = 48x+x²
=> 36x = 36 or x=1
Hence the two numbers are 1 and 1+48=49

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