Question

Need step by step: If sum of four consecutive integers is 26, what is the value of the first integer?

Answer 1

Step-by-step explanation

We can take the first integer as x and other consecutive integers as x + 1, x + 2, x + 3. Then, we can write and solve the following equation.

`\begin{gathered} x+(x+1)+(x+2)+(x+3)=26 \\ \text{ Remove the parentheses} \\ x+x+1+x+2+x+3=26 \\ \text{ Combine similar terms} \\ 4x+6=26 \\ \text{ Subtract 6 from both sides} \\ 4x+6-6=26-6 \\ 4x=20 \\ \text{ Divide by 4 from both sides} \\ (4x)/(4)=(20)/(4) \\ x=5 \end{gathered}`Answer

The value of the first integer is 5.