What is the greater of the two numbers whose product is 1092 and the sum of the two numbers exceeds their… · ABC26GN1693
Subject: General Aptitude · Chapter: Problems on Numbers · Exam: S.B.I.P.O. 2008
What is the greater of the two numbers whose product is 1092 and the sum of the two numbers exceeds their difference by 42?
(a)44
(b)48
(c)52
(d)54
(e)None of these
Answer
Answer (as printed): C
Explanation
Let the numbers be x and y. Then, xy = 1092 …(i) And, (x + y) – (x – y) = 42 ⇔ 2y = 42 ⇔ y = 21. 1092 Putting y = 21 in (i), we get : x = = 52. 21 Hence, greater number = 52.
Explanation as extracted from the printed page; notation may be imperfect.