Answer :
Sure, let's solve the problem step-by-step.
The problem states that the sum of two consecutive numbers is 157, and it gives us the equation [tex]\(2n + 1 = 157\)[/tex], where [tex]\(n\)[/tex] is the first of these consecutive numbers.
Follow these steps to find [tex]\(n\)[/tex]:
1. Subtract 1 from both sides of the equation:
[tex]\[2n + 1 - 1 = 157 - 1\][/tex]
Simplifying this, we have:
[tex]\[2n = 156\][/tex]
2. Divide both sides by 2 to solve for [tex]\(n\)[/tex]:
[tex]\[n = \frac{156}{2}\][/tex]
Simplifying this, we get:
[tex]\[n = 78\][/tex]
So, the first number is 78. Therefore, the correct answer is:
B. 78
The problem states that the sum of two consecutive numbers is 157, and it gives us the equation [tex]\(2n + 1 = 157\)[/tex], where [tex]\(n\)[/tex] is the first of these consecutive numbers.
Follow these steps to find [tex]\(n\)[/tex]:
1. Subtract 1 from both sides of the equation:
[tex]\[2n + 1 - 1 = 157 - 1\][/tex]
Simplifying this, we have:
[tex]\[2n = 156\][/tex]
2. Divide both sides by 2 to solve for [tex]\(n\)[/tex]:
[tex]\[n = \frac{156}{2}\][/tex]
Simplifying this, we get:
[tex]\[n = 78\][/tex]
So, the first number is 78. Therefore, the correct answer is:
B. 78
