find four consecutive even integers such that the product of -2 and the sum of the first and the fourth is 20 less than the opposite of the third

Question

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Answer 1

Let's say that the first of the four consecutive even integers is x, so we have x, x+2, x+4, x+6.

 

We seek the product of -2 and the sum of the first and the fourth is 20 less than the opposite of the third:

-2(x + x+6) = -(x+4) -20

 

All you have to do now is to solve for x and then write down the four consecutive even integers.