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13 votes
13 votes
The sum of three consecutive odd numbers is 63. What are the numbers?​

User David Simic
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2 Answers

18 votes
18 votes

Answer:

19, 21 and 23

Explanation:

→ Make an algebraic expression for the 3 consecutive numbers

2x + 1, 2x + 3 and 2x + 5

→ Add the expressions together and make it equal to 63

2x + 1 + 2x + 3 + 2x + 5 = 63

→ Simplify

6x + 9 = 63

→ Minus 9 from both sides

6x = 54

→ Divide both sides by 6

x = 9

→ Resubstitute x = 9 into the 3 expressions

x = 9 into 2x + 1 is 19

x = 9 into 2x + 3 is 21

x = 9 into 2x + 5 is 23

User Igor Belo
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3.0k points
15 votes
15 votes
19,21,23. Adding all of these consecutive odd numbers is equal to 63