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Find four consecutive integers with the sum of -142. What is the smallest whole number?The smallest integer is ...

User Daarwin
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Final answer:

The smallest integer in a set of four consecutive integers that sums to -142 is -37. This was determined by setting the smallest integer as x, writing an equation for the sum of the integers, and solving for x.

Step-by-step explanation:

To find four consecutive integers that sum up to -142, we can let the smallest integer be represented by x. The next three consecutive integers would then be x+1, x+2, and x+3. The sum of these four integers can be written as:

x + (x+1) + (x+2) + (x+3) = -142

We can simplify this equation by combining like terms:

4x + 6 = -142

Subtracting 6 from both sides, we get:

4x = -148

Dividing both sides by 4, we find:

x = -37

Therefore, the smallest consecutive integer is -37.

User Steve Greene
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