38.2k views
0 votes
The sum of three consecutive odd numbers is 69. What is the third number in this sequence?

User Utopia
by
8.9k points

1 Answer

6 votes

let the first odd number = x

the sum of three consecutive odd numbers is 69

(x) + (x + 2) + (x + 4) = 69

Simplify. Combine like terms

3x + 6 = 69

Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First, subtract 6 from both sides

3x + 6 (-6) = 69 (-6)

3x = 63

Next, divide 3 from both sides to isolate the x.

3x/3 = 63/3

x = 63/3

x = 21

To solve for the third number, plug in 21 back into x.

(x + 4)

21 + 4 = 25

The third number is 25

hope this helps

User Erigami
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories