QQuestionMathematics
QuestionMathematics
Half of a number is 16. Write an equation and solve to find the number.
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Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Translate the word problem into an algebraic equation
• Let $$x$$ represent the unknown number
• The phrase "Half of a number is 16" translates to the equation: \frac{1}{2}x = 16
Step 3:: Solve the equation by multiplying both sides by 2
2 \cdot \frac{1}{2}x &= 2 \cdot 16 \
\begin{align} x &= 32 \end{align}
Step 4:: Verify the solution
• Check: Half of 32 is $$\frac{1}{2} \cdot 32 = 16$$ ✓
Final Answer
The number is 32.
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