Algebra ENGG10: Age Word Problem
Peter is 36 years old. Peter is twice as old as Jun was when Peter was as old as Jun is now. How old is Jun?
Peter is 36 years old. Peter is twice as old as Jun was when Peter was as old as Jun is now. How old is Jun? Solution: Let be the age of Jun now. Consider the following table: Therefore, \begin{align*} 36-x & =x-\frac{x}{2} \\ 36-x & = \frac{x}{2} \\ 36 & = \frac{x}{2}+x \\ 36 & = \frac{3x}{2} \\ x & = \frac{36\left( 2 \right)}{3} \\ x & = 24 \ \text{years old} \ \qquad \ \color{DarkOrange}…
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