Question

On the number line, if integers $A$ and $B$ are non-zero and at equal distance from $0,$ then the value of $A+B$ is

• A. $2A$
• B. $2B$
• C. $0$
• D. (a) and (b) above

Answer 1

The correct option is C $0$

• As $A$ and $B$ are at equal distance from $0$ on the number line, the integer $A$ is opposite or mirror reflection of integer $B$.
• Since $A$ is at left to $0$ and $B$ is at right to $0,$ $B$ is a positive integer and $A$ is negative of $B$.
• If we add an integer and it's negative, the result becomes zero. As an example, $5+(-5)=5-5=0$.

$\therefore$ $B+\left(A\right)=0=A+B$

Hence, option (c.) is the correct choice.