hemotropS7A

2022-11-26

age-based word problem
Peter's age is three years more than three times his son's age. After three years, Peter's age will be ten years more than twice his son's age. What is Peter's present age?
I tried to put this into algebra, but not sure if correct?
$x=$ Peter's son's age
$p=$ Peter's age
$\begin{array}{rl}3x+3& =p\\ 10+2x& =3\end{array}$

artyleriaCuy

Expert

The first equation ($3x+3=p$) is correct, but you lost your focus on the second equation. So now Peter's age is $p$ and his sons age is $x$. After three years, Peter's age will be $p+3$ and his son's $x+3$. So "After three years, Peter's age ($p+3$) will be ten years more than twice his son's age" becomes
$\left(p+3\right)=10+2\left(x+3\right)$

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