# SOLUTION: find three positive numbers whose sum is 44 if the second number is twice the first and the third number is two thirds the first.

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 Click here to see ALL problems on Numbers Word Problems Question 309617: find three positive numbers whose sum is 44 if the second number is twice the first and the third number is two thirds the first. Answer by ankor@dixie-net.com(15660)   (Show Source): You can put this solution on YOUR website!find three positive numbers whose sum is 44 if the second number is twice the first and the third number is two thirds the first. : x + y + z = 44 : "the second number is twice the first" y = 2x : "the third number is two thirds the first." z = x : Replace y and z in the 1st equation, find x: x + 2x + x = 44 3x + x = 44 multiply both sides by 3, results: 9x + 2x = 3(44) 11x = 132 x = x = 12 then y = 2(12) y = 24 and z = (12) z = 8 : : Check solution: 12 + 24 + 8 = 44