# SOLUTION: pat is 6 years older than his friend gary. four years ago gary's age was 7 more than half of pat's age. what are their present ages?

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 Click here to see ALL problems on Age Word Problems Question 632823: pat is 6 years older than his friend gary. four years ago gary's age was 7 more than half of pat's age. what are their present ages?Answer by ankor@dixie-net.com(15652)   (Show Source): You can put this solution on YOUR website!let p = Pat's present age let g = Gary's : Write an equation for each statement : pat is 6 years older than his friend gary. p = g+6 : four years ago gary's age was 7 more than half of pat's age. g - 4 = .5(p-4) + 7 g - 4 = .5p - 2 + 7 g = .5p + 5 + 4 g = .5p + 9 Replace p with (g+6), find g g = .5(g+6) + 9 g = .5g + 3 + 9 g - .5g = 12 .5g = 12 multiply both side by 2 g = 24 yrs is Gary's present age then 24 + 6 = 30 is Pat's present age : : Check this in the 2nd equation 24 - 4 = .5(30-4) + 7 20 = .5(26) + 7 20 = 13 + 7; confirms of our answers of Pat is 30, Gary is 24