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Answer :
We start with the statement:
$$\text{"The difference between } x \text{ and } 89 \text{ is } 7."$$
Interpreting “the difference between $x$ and $89$” as $x - 89$, we can write the equation:
$$x - 89 = 7.$$
To solve for $x$, add $89$ to both sides:
$$
\begin{aligned}
x - 89 + 89 &= 7 + 89\\[6pt]
x &= 96.
\end{aligned}
$$
Thus, the equation $x - 89 = 7$ models the problem correctly and, after solving, gives $x = 96$. This corresponds to the option:
"Write the equation as $x-89=7$ and add 89 to both sides. The answer is 96."
$$\text{"The difference between } x \text{ and } 89 \text{ is } 7."$$
Interpreting “the difference between $x$ and $89$” as $x - 89$, we can write the equation:
$$x - 89 = 7.$$
To solve for $x$, add $89$ to both sides:
$$
\begin{aligned}
x - 89 + 89 &= 7 + 89\\[6pt]
x &= 96.
\end{aligned}
$$
Thus, the equation $x - 89 = 7$ models the problem correctly and, after solving, gives $x = 96$. This corresponds to the option:
"Write the equation as $x-89=7$ and add 89 to both sides. The answer is 96."
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