Question
The sum of two consecutive numbers is 157 . This equation, where \( n \) is the first number, represents the situation: \( 2 n+1=157 \). What is the first number? A. 77 B. 78 C. 79 D. 80
Ask by Knight Fitzgerald. in the United States
Mar 09,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The first number is 78.
Solution
1. Write the equation for the sum of two consecutive numbers, where \( n \) is the first number:
\[
n + (n + 1) = 157
\]
2. Combine like terms:
\[
2n + 1 = 157
\]
3. Subtract 1 from both sides of the equation:
\[
2n = 157 - 1 = 156
\]
4. Divide both sides by 2 to solve for \( n \):
\[
n = \frac{156}{2} = 78
\]
Thus, the first number is 78.
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Simplify this solution Bonus Knowledge
To find the first number, we start with the equation: \( 2n + 1 = 157 \). First, we subtract 1 from both sides to get \( 2n = 156 \). Dividing both sides by 2 results in \( n = 78 \). Therefore, the first number is 78, which corresponds to option B! Now you can confidently declare yourself the math champion of the day! It’s a simple yet sure way to impress friends at parties when you whip out your mental math skills.
