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Question

The sum of the squares of two numbers is 233 and one of the number is 3 less than twice the other number. Find the numbers.

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Solution

Let the numbers be integers. One of the numbers be x. So, the other will be .

Then according to question,

Or

Since, we have assumed the numbers to be integers, so x cannot be a rational number/fraction.

Therefore, for x = 8

Other number =

Thus, whole numbers be .


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