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3 years ago

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

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

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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Step-by-step explanation:

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