Question

Seven years ago, Grogg's dad was 9 times as old as Grogg, and 6 years ago, his dad was 7 times as old as Grogg. How old is Grogg's dad currently?

Answer 1

From the first piece of information, we can set up an equation:

D - 7 = 9(G - 7)

Simplifying this equation, we get:

D - 7 = 9G - 63

D = 9G - 56

From the second piece of information, we can also set up an equation:

D - 6 = 7(G - 6)

Simplifying this equation, we get:

D - 6 = 7G - 42

D = 7G - 36

Now we can combine the two equations:

9G - 56 = 7G - 36

Solving for G, we get:

2G = 20

G = 10

So currently, Grogg is 10 years old. We can substitute this value back into either equation to find his dad's age:

D = 9G - 56

D = 9(10) - 56

D = 34

Therefore, Grogg's dad is currently 34 years old.

Explanation: