The difference between two numbers is 3 and the difference between their squares is 63. Which is the larger… · ABC26GN1712
Subject: General Aptitude · Chapter: Problems on Numbers · Exam: Bank P.O. 2009
The difference between two numbers is 3 and the difference between their squares is 63. Which is the larger number?
(a)9
(b)12
(c)15
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): B
Explanation
Let the numbers be x and y. Then, x2 – y2 = 63 and x – y = 3. On dividing, we get : x + y = 21. …(i) Solving x + y = 21 and x – y = 3, …(ii) we get : x = 12 and y = 9. \ Larger number = 12. …(iii)
Explanation as extracted from the printed page; notation may be imperfect.