There Are Two Numbers Whose Product Added To The Sum Of Their Squares Is 109

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: 5 and 7. (5)² = 25(7)² = 49(5x7)+25+49=10949-25=24

Source: https://www.riddles.com/index.php/364

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? — There are two numbers whose product added to the sum of their squares is 109 by Anonymous v1.

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: 5 and 7.
(5)² = 25(7)² = 49(5x7)+25+49=10949-25=24 — by Anonymous v2.