Let n represent the least consecutive odd integer

The next greater consecutive odd integer = n + 2

The greatest of the three odd integers = n + 4

The sum of three consecutive odd integers is 51.

Write an equation for the current situation \ \

                                     (Combine like terms)

According to subtraction property of equality: if a = b, then .

                (Subtract 6 from each sides)

                              (Additive inverse property:)

                                               (Subtract: )

According to division property of equality:

For any number a, b and c, If a = b then

                              (Divide both sides by 3)

                                  (Cancel common factors)

n = 15                                     (Divide:) \ \

n + 2 = 15 + 2 = 17 \ \

n + 4 = 15 + 4 = 19 \ \

The three consecutive odd integers are 15, 17 and 19.

The three consecutive odd integers are 15, 17 and 19.