Question

hi! heres my question:find 3 consecutive integers, with the second and third adding up to -17i tried it on my own and got this:a = (-7)a + (-1) = (-8)a + (-2) = (-9)

Answer 1

We are given the following information:

`\begin{gathered} \text{Let the first integer be represented as ''x''} \\ \text{Let the second integer be represented as ''x+1''} \\ \text{Let the third integer be represented as ''x+2''} \\ \text{The sum of the 3 integers is given by:} \\ x+x+1+x+2=-17 \\ 3x+3=-17 \\ \text{Subtract ''3'' from both sides, we have:} \\ 3x=-17-3 \\ 3x=-20 \\ \text{Divide both sides by ''3'', we have:} \\ x=-(20)/(3) \\ x=-6(2)/(3) \\ x+1=-5(2)/(3) \\ x+2=-4(2)/(3) \end{gathered}`

The value of ''x'' is not an integer.

This, therefore, means that there is no true solution to the question