ABC26GN0418 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

If the sum of two numbers is 14 and their difference is 10, find the product of these two numbers. [UPSSSC—Lower Subordinate (Pre.) Exam 2016]
(a)18
(b)20
(c)24
(d)22
Answer
Answer (as printed): C
Explanation
Let the two numbers be $a$ and $b$. $a+b=14$ …(i) $a-b=10$ …(ii) By adding equations (i) and (ii), we get $2a=24$, $\therefore a=12$ and $b=2$. $\therefore$ product of these two numbers $=12\times 2=24$.

Explanation as extracted from the printed page; notation may be imperfect.

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