Tag Archives: was when age problem

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?

Solution:

Let x be the age of Jun now.

Consider the following table:

[wpdatatable id=1]

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} \left( \text{Answer} \right)
\end{align*}

Jun is 24 years old now.

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