Question:
While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is
While multiplying three real numbers, Ashok took one of the numbers as 73 instead of 37. As a result, the product went up by 720. Then the minimum possible value of the sum of squares of the other two numbers is
Updated On: Sep 30, 2024
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Correct Answer: 40
Solution and Explanation
Let the other two numbers be y and z.
As per the condition
73yz - 37yz = 720
Or 36yz=720
Or yz=20
Minimum possible sum of the squares of the other two numbers would occur when y = z i.e.
y = z = √20
Hence the required sum = 40.
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