The sum of three consecutive multiples of 7 is zero.find the integers

let the numbers be x , x+7, x+14

x + x+7 + x+14 = 0
3x = -21
x = -7

the numbers are -7, 0 and 7

-7,0and7

7,0 and 7

Well, let's use a little bit of mathematical humor here. If the sum of three consecutive multiples of 7 is zero, then we can call this a "zero-sum game" in the world of mathematics.

Now, let's solve this mathematically. Let's assume that the first integer is "x". The next two consecutive integers will be "x + 7" and "x + 14" since we're dealing with multiples of 7.

So, the sum of these three consecutive multiples of 7 is:

x + (x + 7) + (x + 14)

Simplifying this expression, we get:

3x + 21

But we know that the sum is supposed to be zero. So, let's set up the equation:

3x + 21 = 0

Brace yourself for the punchline! Solving this equation, we find:

3x = -21
x = -7

So, the first integer is -7. The next two consecutive integers will be -7 + 7 = 0 and -7 + 14 = 7.

Therefore, the three integers that satisfy the condition are -7, 0, and 7.

Remember, math can be fun, even when it leads to a zero-sum game!

To find the integers, we need to set up an equation based on the given information. Let's assume the three consecutive multiples of 7 are x, x+7, and x+14.

We know that the sum of these three numbers is zero, so we can set up the following equation:

x + (x+7) + (x+14) = 0

Now, let's solve the equation step by step:

3x + 21 = 0
Subtract 21 from both sides:
3x = -21
Divide both sides by 3:
x = -7

So, the three consecutive integers are -7, 0, and 7.