Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
Of two numbers, 4 times the smaller one is less than 3 times the larger one by 5. If the sum of the numbers is larger than 6 times their difference by 6, find the two numbers.
Answer
Answer (as printed):
Explanation
Let the numbers be x and y, such that x > y. Then, 3x – 4y = 5 ...(i) and (x + y) – 6 (x – y) = 6 ⇒ – 5x + 7y = 6 ...(ii) Solving (i) and (ii), we get : x = 59 and y = 43. Hence, the required numbers are 59 and 43.
Explanation as extracted from the printed page; notation may be imperfect.