If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is · ABC26GN1710

Subject: General Aptitude · Chapter: Problems on Numbers

If the sum of two numbers is 22 and the sum of their squares is 404, then the product of the numbers is

(a)40

(b)44

(c)80

(d)88

Answer

Answer (as printed): A

Explanation

Let the numbers be x and y. Then, (x + y) = 22 and x2 + y2 = 404. Now, 2xy = (x + y)2 – (x2 + y2) = (22)2 – 404 = 484 – 404 = 80 ⇒ xy = 40.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Problems on Numbers