Let's break down the given problem step-by-step:
The problem states: "11 less than a number is 24."
1. Identify the unknown number:
- Let [tex]\( x \)[/tex] be the unknown number.
2. Translate the statement into an equation:
- "11 less than a number" translates mathematically to [tex]\( x - 11 \)[/tex].
- The statement says that this is equal to 24, so our equation is [tex]\( x - 11 = 24 \)[/tex].
3. Solve for [tex]\( x \)[/tex]:
- To isolate [tex]\( x \)[/tex], we need to undo the subtraction of 11. We do this by adding 11 to both sides of the equation:
[tex]\[
x - 11 + 11 = 24 + 11
\][/tex]
- Simplifying both sides, we get:
[tex]\[
x = 35
\][/tex]
4. Check our work:
- Plugging [tex]\( x = 35 \)[/tex] back into the original equation [tex]\( x - 11 \)[/tex]:
[tex]\[
35 - 11 = 24
\][/tex]
- This statement is true, confirming our solution.
5. Select the appropriate option:
- From the given choices, we see that option B has our derived equation and solution:
[tex]\[
\begin{array}{l}
x-11=24 \\
x=35
\end{array}
\][/tex]
Therefore, the correct equation and solution for the situation "11 less than a number is 24" is:
B.
[tex]\[
\begin{array}{l}
x-11=24 \\
x=35
\end{array}
\][/tex]
