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The sum of two consecutive odd numbers is . What is the larger number?
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Q. The sum of two consecutive odd numbers is . What is the larger number?
- Denote Odd Numbers: Let's denote the smaller odd number as . Since the numbers are consecutive odd numbers, the next odd number is more than , which we can denote as . The sum of these two numbers is given as . We can write this as an equation:
- Combine and Solve: Now, let's combine like terms and solve for :Subtract from both sides to isolate the term with :
- Calculate Smaller Number: Next, we divide both sides by to solve for :Since is the smaller odd number, the larger odd number will be .
- Calculate Larger Number: We calculate the larger number:So, the larger of the two consecutive odd numbers is .
