College

We appreciate your visit to The sum of two consecutive numbers is 157 This equation where tex n tex is the first number represents the situation tex 2n 1 157. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

The sum of two consecutive numbers is 157. This equation, where [tex]n[/tex] is the first number, represents the situation: [tex]2n + 1 = 157[/tex]

What is the first number?

A. 77
B. 78
C. 79
D. 80

Answer :

To solve the problem of finding the first number, let's break it down step by step.

1. We are given that the sum of two consecutive numbers is 157. Let the first number be [tex]\( n \)[/tex]. Therefore, the second consecutive number would be [tex]\( n + 1 \)[/tex].

2. Set up the equation representing the sum of these two consecutive numbers:
[tex]\[
n + (n + 1) = 157
\][/tex]
Simplify the equation:
[tex]\[
2n + 1 = 157
\][/tex]

3. To solve for [tex]\( n \)[/tex], first subtract 1 from both sides of the equation to isolate the term with [tex]\( n \)[/tex]:
[tex]\[
2n = 156
\][/tex]

4. Divide both sides by 2 to find the value of [tex]\( n \)[/tex]:
[tex]\[
n = \frac{156}{2} = 78
\][/tex]

The first number is 78. So, the correct answer is B. 78.

Thanks for taking the time to read The sum of two consecutive numbers is 157 This equation where tex n tex is the first number represents the situation tex 2n 1 157. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada