Question

Sum of squares of two natural numbers is 106. Square of smaller number is seven more than two times of bigger number. Find the numbers.

Answer 1

Answer: Refer to the attachment

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Answer 2

Answer:

Let bigger number be x

⇒ Square of smaller number = 2x + 7

⇒ x² + 2x + 7 = 106

⇒ x² + 2x - 99 = 0

⇒ ( x − 9 ) ( x + 11 )

Hence the two numbers are -11 and 9.