IXL - Consecutive integer problems (Algebra 1 practice)

There are 3 consecutive integers that have a sum of 45. Which integers are they?

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Three consecutive integers add up to 51. Which integers are they?

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Consecutive integers are integers in counting order, like 15, 16, and 17. They can be represented as n, n + 1, n + 2, and so on.

First write an expression for each integer.

First integer: n

Second integer: n + 1

Third integer: n + 2

Next write an expression for the sum of the integers and set it equal to 51. Then solve for n.

n + (n + 1) + (n + 2)

Combine like terms

3n + 3

Combine like terms

Subtract 3 from both sides

Divide both sides by 3

Now find all three integers.

The integers are 16, 17, and 18.

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