Question

The sum of four consecutive integers is 2174.what are the integers

Answer 1

the integers are 542, 543, 544, and 545

Explanation:

let the four consecutive integers be,

x, x+1, x+2, x+3

according to the question,

x + x+1 + x+2 + x+3 = 2174

4x + 6 = 2174

4x = 2168

x = 2168/4 = 542

thus, the four consecutive integers are

542, 543, 544, 545

Answer 2

`\huge\boxed{\sf 542, 543, 544\ and\ 545}`

Explanation:

Consecutive integers mean they come after one another.

So,

Let the numbers be x, x + 1, x + 2 and x + 3.

Given condition:

x + x + 1 + x + 2 + x + 3 = 2174

• Combine like terms.

x + x + x + x + 1 + 2 + 3 = 2174

4x + 6 = 2174

• Subtract 6 from both sides

4x = 2174 - 6

4x = 2168

• Divide both sides by 4

x = 2168 / 4

x = 542

So,

• x + 1 = 542 + 1 = 543

• x + 2 = 542 + 2 = 544

• x + 3 = 542 + 3 = 545

So,

The numbers are 542, 543, 544 and 545.

`\rule[225]{225}{2}`