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If the mean of two numbers is 30 and geometric mean is 24 then what will be these two numbers?
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If the mean of two numbers is 30 and geometric mean is 24 then what wi...
Explanation:

Let the two numbers be x and y. Then, we have:


  • Mean of two numbers = (x + y)/2 = 30

  • Geometric mean of two numbers = √(xy) = 24


From the first equation, we can solve for one of the variables in terms of the other:


  • x + y = 60

  • y = 60 - x


Substituting y in terms of x into the second equation, we get:


  • √(x(60 - x)) = 24


Squaring both sides, we get:


  • x(60 - x) = 576

  • 60x - x² = 576

  • x² - 60x + 576 = 0


Factoring the quadratic equation, we get:


  • (x - 24)(x - 24) = 0

  • x = 24 or x = 36


Since the two numbers cannot be equal, we have:


  • x = 24 and y = 60 - x = 36


Conclusion:

Therefore, the two numbers are 24 and 36.
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If the mean of two numbers is 30 and geometric mean is 24 then what will be these two numbers?
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If the mean of two numbers is 30 and geometric mean is 24 then what will be these two numbers? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the mean of two numbers is 30 and geometric mean is 24 then what will be these two numbers? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the mean of two numbers is 30 and geometric mean is 24 then what will be these two numbers?.
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