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Sagot :
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:
[tex]x+x+2+x+4=162.[/tex]Adding like terms we get:
[tex]3x+6=162.[/tex]Subtracting 6 from the above equation we get:
[tex]\begin{gathered} 3x+6-6=162-6, \\ 3x=156. \end{gathered}[/tex]Dividing the above equation by 3 we get:
[tex]\begin{gathered} \frac{3x}{3}=\frac{156}{3}, \\ x=52. \end{gathered}[/tex]Therefore the three consecutive even integers whose sum is 162 are:
[tex]52,54,56.[/tex]Answer:
[tex]52,54,56.[/tex]
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