There are two numbers whose product added to the sum of their squares is 109

Math Riddle: There are two numbers whose product added to the sum of their squares is 109, and the difference of whose squares is 24. What are the two numbers?

Answer: The correct answer is 5 and 7.

(5)² = 25
(7)² = 49
(5×7)+25+49=109

49-25=24

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