Respuesta :

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.

[tex]\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} \\ \frac{4x}{4}=\frac{20}{4} \\ x=5 \end{gathered}[/tex]Answer

The value of the first integer is 5.

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