Question

dave is 8 years younger than 4 times julias age. if dave is 16, how old is julia?

6 years
24 years
32 years
56 years

Explanation:

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<reasoning>

Set up the equation

\[

$$\begin{aligned} &\text{Let } j \text{ be Julia's age.}\\ &4j - 8 = 16 \end{aligned}$$

\]

Solve for Julia's age

\[

$$\begin{aligned} &4j = 16 + 8\\ &4j = 24\\ &j = 6 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 6 years</mcq-correct>
<mcq-option>(B) 24 years</mcq-option>
<mcq-option>(C) 32 years</mcq-option>
<mcq-option>(D) 56 years</mcq-option>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Equations"
]
}
</post_analysis>

Answer:

<pre_analysis>
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</pre_analysis>

<reasoning>

Set up the equation

\[

$$\begin{aligned} &\text{Let } j \text{ be Julia's age.}\\ &4j - 8 = 16 \end{aligned}$$

\]

Solve for Julia's age

\[

$$\begin{aligned} &4j = 16 + 8\\ &4j = 24\\ &j = 6 \end{aligned}$$

\]
</reasoning>

<answer>
<mcq-correct>(A) 6 years</mcq-correct>
<mcq-option>(B) 24 years</mcq-option>
<mcq-option>(C) 32 years</mcq-option>
<mcq-option>(D) 56 years</mcq-option>
</answer>

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"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Linear Equations"
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