The sum of three consecutive even numbers is 78. what is the first number

Answers

Answer 1

Answer: This is a common algebra problem. Let us start by establishing the numbers. By the way, here is the theory behind the math.

If we call the first number $n$ , then the next consecutive even number is 2 away, so we will call it $n+2$ , and so forth, the 3rd number $n+4$

Lets form an equation! We know that given the sum of the 3 consecutive even numbers is 78, the equation is:

$n+(n+2)+(n+4)=78$

Combine like terms, and we get:

$3n+6=78$

Subtract 6 from both sides.

$3n=72$

Divide both sides by 3, and we find our number to be:

$n=24$

Hope this helped! Good luck.

Answer 2

Answer: $x+(x+2)+(x+4)=78\n3x+6=78\n3x=78-6\n3x=72\n \nx= (72)/(3) \n \nx=24$

The first number is 24

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Answers

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Answers

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