Question

What is the equation and solution for the sentence?

The sum of a number and thirty-one is one hundred thirteen.(2 points)
Equation:

Solution: n =

Answer 1

To translate the sentence "The sum of a number and thirty-one is one hundred thirteen" into an equation, let's break it down:

1. Let the unknown number be represented by \( n \).
2. The phrase "the sum of a number and thirty-one" can be written as \( n + 31 \).
3. The phrase "is one hundred thirteen" indicates that this sum equals 113.

Putting it all together, the equation is:

\[ n + 31 = 113 \]

To solve for \( n \), we need to isolate \( n \) on one side of the equation:

1. Subtract 31 from both sides:

\[
n + 31 - 31 = 113 - 31
\]
\[
n = 82
\]

So the solution is:

**Equation:** \( n + 31 = 113 \)

**Solution:** \( n = 82 \)