Question

The sum of four consecutive
integers is 94. Find the integers.

Answer 1

22, 23, 24, and 25.

Explanation:

The sum of four consecutive integers is 94, and we want to determine the integers.

Let x be the first integer. Since they are consecutive, the second will be (x + 1), the third (x + 2), and the fourth (x + 3).

They sum to 94. Hence:

`\displaystyle x + (x+1) + (x+2) + (x+3) = 94`

Solve for x. Combine like terms:

`4x + 6= 94`

Subtract:

`\displaystyle 4x = 88`

And divide. Hence:

`\displaystyle x = 22`

Therefore, the first term is 22.

Then the four integers are 22, 23, 24, and 25.