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Answer :
To solve the problem, we need to find the first number in a pair of consecutive numbers whose sum is 157.
The equation given for the situation 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:
[tex]\[
2n + 1 = 157
\][/tex]
2. Subtract 1 from both sides to isolate the term with [tex]\( n \)[/tex]:
[tex]\[
2n = 157 - 1
\][/tex]
3. Simplify the right side:
[tex]\[
2n = 156
\][/tex]
4. Divide both sides by 2 to solve for [tex]\( n \)[/tex]:
[tex]\[
n = \frac{156}{2}
\][/tex]
5. Calculate the value of [tex]\( n \)[/tex]:
[tex]\[
n = 78
\][/tex]
Thus, the first number is 78, which corresponds to option B.
The equation given for the situation 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:
[tex]\[
2n + 1 = 157
\][/tex]
2. Subtract 1 from both sides to isolate the term with [tex]\( n \)[/tex]:
[tex]\[
2n = 157 - 1
\][/tex]
3. Simplify the right side:
[tex]\[
2n = 156
\][/tex]
4. Divide both sides by 2 to solve for [tex]\( n \)[/tex]:
[tex]\[
n = \frac{156}{2}
\][/tex]
5. Calculate the value of [tex]\( n \)[/tex]:
[tex]\[
n = 78
\][/tex]
Thus, the first number is 78, which corresponds to option B.
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