in seven years, huang will be two times as old as he was last year how old is he now?

5 years old
8 years old
9 years old
14 years old

Question

in seven years, huang will be two times as old as he was last year how old is he now?

5 years old
8 years old
9 years old
14 years old

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Algebraic Translation", "Word Problem Analysis" ], "new_concepts": [ "Age Word Problems" ], "current_concepts": [ "Algebraic Translation", "Word Problem Analysis", "Age Word Problems" ] } ## Define the variable and translate the word problem into an equation $$ \begin{aligned} &\text{Let } x \text{ be Huang's current age.} \ &\text{Age in seven years: } x + 7 \ &\text{Age last year: } x - 1 \ &x + 7 = 2(x - 1) \end{aligned} $$ ## Solve the linear equation for x $$ \begin{aligned} &x + 7 = 2x - 2 \ &7 + 2 = 2x - x \ &x = 9 \end{aligned} $$

5 years old

8 years old

9 years old

14 years old

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Age Word Problems" ] }

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QUESTION IMAGE

Question

Explanation:

Define the variable and translate the word problem into an equation

Solve the linear equation for x

Answer: