The difference between two numbers is 16. If one- third of the smaller number is greater than one- seventh of… · ABC26GN1699
Subject: General Aptitude · Chapter: Problems on Numbers
The difference between two numbers is 16. If one- third of the smaller number is greater than one- seventh of the larger number by 4, then the two numbers are
(a)9 and 25
(b)12 and 28
(c)33 and 49
(d)56 and 72
Answer
Answer (as printed): C
Explanation
Let the numbers be x and (x + 16). x ( x + 16) Then, – = 4 ⇔ 7x – 3(x + 16) 3 7 = 84 ⇔ 4x = 84 + 48 = 132 ⇔ x = 33. Hence, the numbers are 33 and 49.
Explanation as extracted from the printed page; notation may be imperfect.