Select the equation and solution for this situation.

11 less than a number is 24.

A.
[tex]\[
\begin{array}{l}
x + 11 = 24 \\
x = 13
\end{array}
\][/tex]

B.
[tex]\[
\begin{array}{l}
x - 11 = 24 \\
x = 35
\end{array}
\][/tex]

C.
[tex]\[
\begin{array}{l}
24 - 11 = x \\
x = 13
\end{array}
\][/tex]

D.
[tex]\[
\begin{array}{l}
x - 11 = 24 \\
x = 35
\end{array}
\][/tex]



Answer :

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]