+1222 Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?
+1897 Let's write a system of equations to solve this problem.
Let's let G be Grogg's age and D be the dad's CURRENt age.
From the first part of the problem, we ge tthe equation
\(9(g-7)=d-7\\ 9(g-7)+7=d\)
From the second part of the problem, we have the equation
\(6(g-4)=d-4\\ 6(g-4)+4=d\)
Now, since both equations are equal to d, we can set the right side to equal each other.
Thus, we have the equation
\(9(g-7)+7=6(g-4)+4\)
Now, we can find Grogg's age. We find that Grogg is \(g=12\)
Plugging this value back into the first equation, we get
\(d=9(12-7)+7=9(5)+7=52\)
So Grogg's dad is 52 years old.
Thanks! :)
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