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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?

 May 2, 2023
 #1
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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.

 May 2, 2023
 #2
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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.

 May 2, 2023
 #3
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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.

 May 3, 2023

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