Question

find three comsecutive even integers whose sum is 162. enter your answers as a coma -seperated list.

Answer 1

To answer this question we will set and solve an equation.

Let x, x+2, and x+4 be three consecutive even integers whose sum is 162, then we can set the following equation:

`x+x+2+x+4=162.`

Adding like terms we get:

`3x+6=162.`

Subtracting 6 from the above equation we get:

`\begin{gathered} 3x+6-6=162-6, \\ 3x=156. \end{gathered}`

Dividing the above equation by 3 we get:

`\begin{gathered} (3x)/(3)=(156)/(3), \\ x=52. \end{gathered}`

Therefore the three consecutive even integers whose sum is 162 are:

`52,54,56.`

Answer:

`52,54,56.`