ElleniJ237493 ElleniJ237493
  • 25-10-2022
  • Mathematics
contestada

which equation would be used to find three consecutive even integers whose sum is 78

which equation would be used to find three consecutive even integers whose sum is 78 class=

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SidyQ684310 SidyQ684310
  • 25-10-2022

Let n be the smallest integer of the 3, then since all the numbers have to be even numbers, the other two numbers are of the form:

[tex]\begin{gathered} n+2, \\ n+4. \end{gathered}[/tex]

Since the sum of the numbers has to be 78, we can set the following equation:

[tex]n+n+2+n+4=78.[/tex]

Simplifying the above equation we get:

[tex]3n+6=78.[/tex]

Answer:

[tex]3n+6=78.[/tex]

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