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4 years ago

Find five consecutive integers such that:

Mathematics

1 answer:

Romashka-Z-Leto [24]4 years ago

4 0

Answer:

17, 18, 19, 20, 21

Step-by-step explanation:

Let x represent the third (middle) integer. Then the first is (x-2) and the given relation is ...

(x-2) + 3(x+1) = -39 +2((x-1)+x+(x+2))

4x +1 = 6x -37 . . . . simplify

38 = 2x . . . . . . . . . add 37-4x

x = 19 . . . . . . . . . . divide by 2

The integers are ...

17, 18, 19, 20, 21

______

Check

17 + 3·20 = -39 +2(18 +19 +21)

17 +60 = -39 +2(58)

77 = -39 +116 . . . . . yes

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