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?

parmen Jan 1, 2024

#1**+1 **

grogg's dad's age = D

Grogg's age = G

We can create equations:

(D-7)=9(G-7)

and

(D-4)=6(G-4)

These simplify into

D-7=9G-63

D-4=6G-24

or

D=9G-56

D=6G-20

Because D equals both of these, we know that

9G-56=6G-20

We solve this and get

3G=36

G=12.

We can subsitute this into any of the equations.

6(12)-20 = 52

9(12)-56= 52

So Grogg's dad is 52 years old.

Happy new Year btw :D

yaytomath Jan 2, 2024