Question 20

Explanation

Let the first number be $A$ and the second number be $B$.

From the given information, we can form a system of equations:

Solving the System of Equations to Find A and B

We will solve equations $(1)$ and $(3)$ first to find the values of $A$ and $B$.

Multiply equation $(3)$ by $2$:

Subtract equation $(3a)$ from equation $(1)$:

Substitute $B = -4$ into equation $(3)$:

Therefore, $A = 1$ and $B = -4$.

Determining the Value of k

Substitute the values $A = 1$ and $B = -4$ into equation $(2)$:

Therefore, the value of $k$ is $12$.