Answer :
To solve the problem, we need to find the first number of two consecutive numbers whose sum is 157.
The equation given is [tex]\(2n + 1 = 157\)[/tex], where [tex]\(n\)[/tex] represents the first number.
Here's how to solve it step-by-step:
1. Set up the equation:
We have [tex]\(2n + 1 = 157\)[/tex].
2. Subtract 1 from both sides of the equation to isolate terms involving [tex]\(n\)[/tex]:
[tex]\[ 2n + 1 - 1 = 157 - 1 \][/tex]
[tex]\[ 2n = 156 \][/tex]
3. Divide both sides by 2 to solve for [tex]\(n\)[/tex]:
[tex]\[ n = \frac{156}{2} \][/tex]
[tex]\[ n = 78 \][/tex]
So, the first number is 78. Therefore, the correct answer is B. 78.
The equation given is [tex]\(2n + 1 = 157\)[/tex], where [tex]\(n\)[/tex] represents the first number.
Here's how to solve it step-by-step:
1. Set up the equation:
We have [tex]\(2n + 1 = 157\)[/tex].
2. Subtract 1 from both sides of the equation to isolate terms involving [tex]\(n\)[/tex]:
[tex]\[ 2n + 1 - 1 = 157 - 1 \][/tex]
[tex]\[ 2n = 156 \][/tex]
3. Divide both sides by 2 to solve for [tex]\(n\)[/tex]:
[tex]\[ n = \frac{156}{2} \][/tex]
[tex]\[ n = 78 \][/tex]
So, the first number is 78. Therefore, the correct answer is B. 78.
