Question

The sum of two integers is $48$. If one of the integers is $(-24)$, determine the other.

Answer 1

Form a linear equation with given information and solve for the unknown

The sum of two integers is $48$.

One integer is $(-24)$ and let the other be $a$.

$a+(-24)=48$

$\Rightarrow a-24=48$ $\left[\because \left(+\right)\times \left(-\right)=-\right]$

$\Rightarrow a=48+24$ (Bring like terms together)

$\Rightarrow a=72$

Hence, the other number is $\mathbf{72}$.