Answer :
To solve this problem, we start with the equation that represents the situation: [tex]\(2n + 1 = 157\)[/tex]. This equation comes from the description that the sum of two consecutive numbers is 157, where [tex]\(n\)[/tex] is the first number and [tex]\(n+1\)[/tex] is the second number.
Let's solve the equation step by step to find the first number [tex]\(n\)[/tex]:
1. Simplify the equation: Start by isolating the term with [tex]\(n\)[/tex]. Subtract 1 from both sides:
[tex]\[
2n + 1 - 1 = 157 - 1
\][/tex]
[tex]\[
2n = 156
\][/tex]
2. Solve for [tex]\(n\)[/tex]: Now, divide both sides by 2 to solve for [tex]\(n\)[/tex]:
[tex]\[
2n \div 2 = 156 \div 2
\][/tex]
[tex]\[
n = 78
\][/tex]
Therefore, the first number is 78.
The correct answer is:
B. 78
Let's solve the equation step by step to find the first number [tex]\(n\)[/tex]:
1. Simplify the equation: Start by isolating the term with [tex]\(n\)[/tex]. Subtract 1 from both sides:
[tex]\[
2n + 1 - 1 = 157 - 1
\][/tex]
[tex]\[
2n = 156
\][/tex]
2. Solve for [tex]\(n\)[/tex]: Now, divide both sides by 2 to solve for [tex]\(n\)[/tex]:
[tex]\[
2n \div 2 = 156 \div 2
\][/tex]
[tex]\[
n = 78
\][/tex]
Therefore, the first number is 78.
The correct answer is:
B. 78
