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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?

 Jul 17, 2024
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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(g7)=d79(g7)+7=d

 

From the second part of the problem, we have the equation 

6(g4)=d46(g4)+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(g7)+7=6(g4)+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(127)+7=9(5)+7=52

 

So Grogg's dad is 52 years old. 

 

Thanks! :)

 

MY 600th ANSWER

 Jul 17, 2024
edited by NotThatSmart  Jul 17, 2024
edited by NotThatSmart  Jul 17, 2024

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