Seven years ago, Grogg's dad was 6 times as old as Grogg, and 4 years ago, his dad was 4 times as old as Grogg. How old is Grogg's dad currently?
D = Dad, G = Grogg
D - 7 = 6[G - 7],
D - 5 =5[G - 5], solve for G, D
G = 15 years - Grogg's current age
D = 55 years - Dad's current age.
Note: For the 2nd part, I used 5 years instead of 4 years ago, because 4 years ago, you get fractions in Grogg's age. You are not supposed to have fractions in questions of this sort. You can change it.
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.
This question cannot be answered correctly, since Grogg's dad's age has to be both a multiple of 4 (even) and seven (or one) more than a multiple of 6 (odd). Since it cannot be even or odd, there is no answer. If you typed incorrectly, the other answers may prove useful to you.