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?
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.
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.