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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 3, 2023
 #1
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This problem does not have a solution. To work, the answer must be a multiple of 4 as well as 1 more than a multiple of 6. These cannot both be true (one says even, the other says odd), so there is no solution.

 May 3, 2023
 #2
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G==Grogg,  D==Dad

 

[D  -  7]==6 * [G  -  7]............................(1)

[D  -  4]==4 * [G  -  4]............................(2), solve for G. D

 

Use substitution to get:

 

G ==11.5 years old - Grogg's current age

D ==34 years old - his Dad's current age.

 

Note: You are not supposed to have fractions in the ages of people in questions such as this once.

 May 3, 2023

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