Find three consecutive odd integers whose sum is 105.

Consecutive means "one after the other". For example, 13 and 15 are consecutive odd integers.

Let n be the first odd integer. Then n + 2 is the second odd integer and n + 4 is the third odd integer.

Combine like terms.

Gather and combine like terms.

Get the term with the variable alone on one side.

Subtract 6 from both sides of the equation.

Now, isolate the variable.

Divide both sides by 3.

The other two numbers are:

29 and 31

35 and 37

Substitute the solution for the first integer in the expressions for the other integers.

The three numbers are 33, 35, and 37.

You should check your answer by adding, as shown.