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  • 12-09-2021
  • Mathematics
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The sum of 4 consecutive even integers is -196. What are the integers?

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catherinetaniatan
catherinetaniatan catherinetaniatan
  • 13-09-2021

Answer:

-52, -50, -48, -46

Step-by-step explanation:

Let the first even integer be a.

The second even integer is a + 2.

The third even integer is a + 2 + 2 = a + 4.

The fourth even integer is a + 4 + 2 = a+ 6

The sum of 4 consecutive even integers = -196

-196 = a + (a + 2) + (a + 4) + (a + 6)

-196 = 4a + 12

-208 = 4a

a = -52

The second even integer = -52 + 2 = -50

The third even integer = -52 + 4 = -48

The fourth even integer = -52 + 6 = -46

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