Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
The sum of two positive integers multiplied by the bigger number is 204, and their difference multiplied by the smaller number is 35. The numbers are
(a)12, 5
(b)13, 4
(c)14, 3
(d)24, 10
Answer
Answer (as printed): A
Explanation
Let the numbers be x and y such that x > y. Then, x (x + y) = 204 ⇒ x2 + xy = 204 and y (x – y) = 35 ⇒ xy – y2 = 35 Subtracting (ii) from (i), we get : x2 + y2 = 169. The only triplet satisfying this condition is (12, 5, 13). Thus, x = 12, y = 5.
Explanation as extracted from the printed page; notation may be imperfect.