Respuesta :

Given that:

- The numbers are consecutive.

- Their sum is 49.

Let the first consecutive number be:

[tex]x[/tex]

Let the second consecutive number be:

[tex]x+1[/tex]

Since a Sum is the result of an Addition, you can set up the following equation:

[tex]x+(x+1)=49[/tex]

Now you can solve for "x", in order to find the first number:

[tex]\begin{gathered} x+x+1=49 \\ 2x+1=49 \\ 2x=49-1 \\ 2x=48 \\ \\ x=\frac{48}{2} \\ \\ x=24 \end{gathered}[/tex]

Hence, the answer is:

[tex]24[/tex]

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