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Stephanie is twice as old as her sister Rosa. If Stephanie is 18 years old, how old is Rosa?

Stephanie is twice as old as her sister Rosa. If Stephanie is $\mathbf{1 8}$ years old, how old is Rosa?

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Solve proportions: word problems

Full solution

Q. Stephanie is twice as old as her sister Rosa. If Stephanie is

\mathbf{1 8}

years old, how old is Rosa?

Understand Relationship: Understand the relationship between Stephanie's and Rosa's ages. $\newline$ Stephanie is twice as old as Rosa. This means that Stephanie's age is $2$ times Rosa's age.
Set Up Equation: Set up the equation to represent the relationship. $\newline$ Let Rosa's age be represented by $R$ . Then Stephanie's age is $2 \times R$ . $\newline$ Since we know Stephanie is $18$ years old, we can write the equation as $2 \times R = 18$ .
Solve for R: Solve the equation for R to find Rosa's age. $\newline$ Divide both sides of the equation by $2$ to isolate R. $\newline$ $\frac{2 \times R}{2} = \frac{18}{2}$ $\newline$ $R = 9$

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