The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is · ABC26GN1706

Subject: General Aptitude · Chapter: Problems on Numbers · Exam: R.R.B. 2004

The product of two numbers is 120 and the sum of their squares is 289. The sum of the numbers is

(a)20

(b)23

(c)169

(d)None of these

Answer

Answer (as printed): B

Explanation

Let the numbers be x and y. Then, xy = 120 and x2 + y2 = 289. \ (x + y)2 = x2 + y2 + 2xy = 289 + 240 = 529. \ x+y = 529 = 23.

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

Study loop for Problems on Numbers