Numbers

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

Answer

Let the other two numbers be y and z.

As per the question,

73yz - 37yz = 720

36yz = 720

yz = 20

Minimum possible sum of the squares of the other two numbers will occur when y = z

So, y = z = √20

Hence, the required sum = 40

The correct answer is 40.