Question

There are 4 consecutive integers that add up to 234. What are the integers?

Answer 1

Step-by-step explanation:

If the numbers are consecutive, it means that the next number will always be one more than the previous number.

Let the 1st number be y, then the next three numbers will be y + 1, y +2, and y + 3.

We're told from the question too that the 4 numbers add up to 234, so our equation can then be written as shown below;

`\begin{gathered} y+(y+1)+(y+2)+(y+3)=234 \\ \end{gathered}`

Let's collect like terms and solve for y;

`\begin{gathered} 4y+6=234 \\ 4y=234-6 \\ y=(228)/(4) \\ \therefore y=57 \end{gathered}`

So the 1st number, y, is 57. Let's go ahead and find the other 3 numbers;

2nd number: y + 1 = 57 + 1 = 58

3rd number: y + 2 = 57 + 2 = 59

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