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

Math, Math Problems and Solutions, Tests, Formulas, Algebra.

**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