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Seven years ago, Grogg's dad was $9$ times as old as Grogg. Four years ago, Grogg's dad was $6$ times as old as Grogg. How old is Grogg's dad currently?

 Oct 29, 2024
 #1
avatar+37153 
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(d-7) = 9 (g-7)     Given

 

(d-4) = 6 (g-4)      Given       <==== solve for   g= (d+20)/6     <==== use THIS in the first equation 

       

d-7 = 9 ( (d+20)/6   - 7)       Solve for   d

d-7 = (9d+180)/6 - 63 

d+56 = (9d+180)/6 

6d + 336 = 9d + 180 

156 = 3d 

d = 52 y/o  now

 Oct 29, 2024

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