The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is · ABC26GN0128
Subject: General Aptitude · Chapter: Number System
The sum of three prime numbers is 100. If one of them exceeds another by 36, then one of the numbers is
(a)7
(b)29
(c)41
(d)67
Answer
Answer (as printed): D
Explanation
Let the required prime numbers be $x, y, y+36$. Then, $$x+y+y+36=100 \Rightarrow x+2 y=64$$ Let $x=2$. Then, $2 y=62 \Rightarrow y=31$. So, these prime numbers are 2, 31 and 67. In given choices 67 is the answer.
Explanation as extracted from the printed page; notation may be imperfect.