The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is :	Pick one:
A) 20
B) 23
C) 169
D) 172
E) 198

Rationale: "explanation : let the number be x and y . we know that , ( x + y ) 2 = ( x 2 + y 2 ) + 2 xy = 289 + 2 × 120 = 289 + 240 = 529 ⇒ x + y = √ 529 = 23 correct option : b"
Answer: B