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?

learnmgcat Jul 17, 2024

#1**+1 **

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! :)

MY 600th ANSWER

NotThatSmart Jul 17, 2024