Question

The sum of two integers is '$-314$'.If one of them is $-18$, then the other integer is

• A. $296$
• B. $196$
• C. $-296$
• D. $-196$

Answer 1

The correct option is C

$-296$

Step:Explanation for correct option.

option-(C):$-296$

$\Rightarrow$ Given, One of the integers is $-18$

$\Rightarrow$ Let the other integer be $x$

$\therefore x+\left(-18\right)=-314$

$x=-314-\left(-18\right)$

$x=-314+\left(\mathrm{additive}\mathrm{inverse}\mathrm{of}-18\right)$ ($\because$ In subtraction, we add the additive inverse of the number to be subtracted)

$x=-314+18$ ($\because$ additive inverse of $-18$ is $18$)

$x=-296$ ($\because$$\left|314\right|>\left|18\right|$, So we shall subtract $18$ from $314$ and will use the sign of $314$)

Therefore, the correct answer is $-296$