math

Let g = Grogg's age and d = Grogg's dad's age.

7 years ago, Grogg's dad was 8 times as old as Grogg:

d - 7 = 8(g - 7)

4 years ago, his dad was 5 times as old as Grogg:

d - 4 = 5(g - 4)

Solving for g and d, we get:

g = 11 d = 44

Therefore, Grogg's dad is currently 44 years old.

d - 7 = 8(g - 7)..........................(1)    

d - 4 = 5(g - 4)..........................(2), solve for d, g

Use substitution to get:

g ==11 years old

d==39 years old

Let Grogg's age be g and his dad's age be d. We can set up a system of equations to represent the information given in the problem:

Seven years ago, Grogg's dad was 8 times as old as Grogg: d−7=8(g−7)

Four years ago, his dad was 5 times as old as Grogg: d−4=5(g−4)

We can solve this system of equations by substitution. First, we can solve the first equation for g:

g=8d−7​+7

We can then substitute this value of g into the second equation:

d−4=5(8d−7​+4)

We can then solve this equation for d:

d=30

Therefore, Grogg's dad is currently 30 years old.

Grogg's age 7 years ago = x Grogg's dad's age 7 years ago = 8x Grogg's age 4 years ago = x+3 Grogg's dad's age 4 years ago = 5(x+3)

8x+7 = 5(x+3) + 4 3x = 8 x = 8/3

Grogg's dad's age now = 8x+7 = 8(8/3) + 7 = 31

So the answer is 31

We can use the given information to set up a system of equations to solve for Grogg's and his dad's current ages. Let g be Grogg's current age and d be his dad's current age. We know that 7 years ago, Grogg's dad was 8 times as old as Grogg, so we have the equation d−7=8(g−7). We also know that 4 years ago, Grogg's dad was 5 times as old as Grogg, so we have the equation d−4=5(g−4). We can solve this system of equations by first multiplying the second equation by 8 and then subtracting the first equation from the second equation. This gives us the equation 7d−28=35g−160. We can then divide both sides of this equation by 7 to get d−4=5g−23. Finally, we can add 4 to both sides of this equation to get d=5g−19.

Now that we know the relationship between Grogg's and his dad's ages, we can plug in the given information to solve for Grogg's current age. We know that 7 years ago, Grogg's dad was 8 times as old as Grogg, so we have the equation d−7=8(g−7). Plugging in d=5g−19, we get 5g−26=8(g−7). We can then solve for g to get g=13.

Now that we know Grogg's current age is 13, we can plug it into the equation d=5g−19 to solve for his dad's current age. This gives us d=5(13)−19=46. Therefore, Grogg's dad is currently 46 years old.