The sum of three consecutive even integers is- 78. What are the integer? Describe how you would use the strategy of writing an equation solve the given problems

Respuesta :

The integers are 24,26,28. even numbers are taken as 2x and then adding 2 to it for consecutive even integers.

Answer:

Let x = the smallest even integer, x + 2 = the next even integer, and x + 4 = the largest even integer.

Write the equation x + x + 2 + x + 4 = –78.

Simplify the equation as 3x + 6 = –78.

Solve the equation by subtracting 6 and dividing by 3 on both sides of the equation.

Check that the sum of the integers –28,

–26, and –24 is –78.

Step-by-step explanation: