Subject: General Aptitude · Chapter: Problems on Numbers · Exam: · Marks: · Difficulty:
The sum of two number is 37 and the difference of their squares is 185, then the difference between the two numbers is: [SSC-CHSL (10 +2) Exam, 2015]
(a)10
(b)4
(c)5
(d)3
Answer
Answer (as printed): C
Explanation
Let the numbers be $a$ and $b$ where $a>b$. According to the question, $a+b=37$ and $a^{2}-b^{2}=185 \Rightarrow (a+b)(a-b)=185 \Rightarrow 37(a-b)=185 \Rightarrow a-b=\frac{185}{37}=5$.
Explanation as extracted from the printed page; notation may be imperfect.