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Blizzard [7]
3 years ago
7

Three times the largest of three consecutive even integers is equal to the sum of the other two

Mathematics
1 answer:
slavikrds [6]3 years ago
5 0

Answer:

The three consecutive even integers are

x=-10\\x+2=-8\\x+4=-6

Step-by-step explanation:

Let  

x ----> the smallest of three consecutive even integers

x+2 ----> the second consecutive even integers

x+4 ----> the largest of three consecutive even integers

we know that

Three times the largest of three consecutive even integers is equal to the sum of the other two

so

3(x+4)=x+(x+2)

solve for x

3x+12=2x+2\\3x-2x=2-12\\x=-10

Find (x+2)

(x+2)=-10+2=-8

Find (x+4)

(x+4)=-10+4=-6

therefore

The three consecutive even integers are

x=-10\\x+2=-8\\x+4=-6

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