Question

Find two consecutive even integers whose sum is -106.

Answer 1

-52 and -54

Step-by-step explanation

Step 1

Let

x represents a number,

x+2, represents the even number after x

then

x and x+2 are two consecutive integers

Step 2

the sum is -106,then

`\begin{gathered} x+(x+2)=-106 \\ x+x+2=-106 \\ 2x+2=-106 \\ \text{subtract 2 in both sides} \\ 2x+2-2=-106-2 \\ 2x=-108 \\ \text{divide both sides by 2} \\ (2x)/(2)=(-108)/(2) \\ x=-54 \end{gathered}`

Step 3

a number is -54

the next number is -54+2=-52

Hence, the numbers are -52 and -54.

I hope this helps you