Hi

Pat's father is 30 years older than Pat

Let x and (x+30)represent Pat and his father ages NOW

Question states*** in 17 years...

 (x+30) + 17 = 3x - 5

Solving for x

     x + 47 = 3x - 5

         52 = 2x

          x = 26, Pat's age NOW. His father is now 56

         

CHECKING our Answer***

    73 = 3*26 - 5 = 78 - 5 = 73

 

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