How Can You Find Consecutive Odd Numbers?

How Can You Find Consecutive Odd Numbers?

How Can You Find Consecutive Odd Numbers?

Consecutive odd numbers are any two odd numbers with only one even number between them. To find a pair of consecutive odd numbers when given their sum, set up the equation 2x + 2 to equal the sum. Solve it for the variable "x."

  1. Label the odd numbers with variables

    Use the letter "x" to stand for any odd number. Then x + 2 would be the consecutive odd number.

  2. Set up the equation

    Add the two variable together to equal their sum, which the variably "y" represents. x + x + 2 = y This equation can be simplified to 2x + 2 = y.

  3. Solve the equation for "x"

    Put the sum in for the "y" variable, and solve the equation for "x." 2x + 2 = 228 Solving this equation for "x" shows that it equals 113. This means that the two consecutive odd numbers are 113 and 115.