# SOLUTION: How do you answer this question: the sum of 3 numbers is 79. The second number is 9 times the first, and the third number is 3 more than the second. Find the numbers.

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 Click here to see ALL problems on Numbers Word Problems Question 622137: How do you answer this question: the sum of 3 numbers is 79. The second number is 9 times the first, and the third number is 3 more than the second. Find the numbers.Answer by matineesuxxx(27)   (Show Source): You can put this solution on YOUR website!x + y + z = 79 the trick is writing both 'x' and 'z' in terms of 'y' so we only have one variable. "the second number is 9 times the first" ---> y = 9x , therefore, x = y/9 "the third number is three more than the second" ----> z = 3+ y now that we have written each variable in terms of "Y", you can plug them into our equation, 'x+y+z=79' and we get; (y/9) + y + (3 + y) = 79 (y/9) + 2y + 3 = 79 now find a common denominator by multiplying both (2y/1) and (3/1) by (9/9) (y+18y+27)/9=27 19y + 27 = 711 19y = 684 y = 36 therefore x = (36/9) = 4 z = 3 + 36 = 39 PROOF: 36 + 39 + 4 = 79