ABC26GN1710 · Problems on Numbers

Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:

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.