Seven years ago, Grogg's dad was 6 times as old as Grogg, and 2 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?

Answer 1

Let's use algebra to solve the problem.

Let G = Grogg's current age.
Let D = Grogg's dad's current age.

Seven years ago, we know that:

D - 7 = 6(G - 7)

Simplifying:

D - 7 = 6G - 42

D = 6G - 35

Two years ago, we know that:

D - 2 = 4(G - 2)

Simplifying:

D = 4G

Now we can set these two expressions for D equal to each other and solve for G:

6G - 35 = 4G

2G = 35

G = 17.5

Therefore, Grogg is currently 17.5 years old.

To find Grogg's dad's age, we can substitute this value of G back into one of the expressions for D:

D = 6G - 35

D = 6(17.5) - 35

D = 77.

Therefore, Grogg's dad is currently 77 years old.