SOLUTION: find three consecutive odd intergers such that if six times the first is subtracted from the sum of twice the second plus five times the third, the result is 53
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Question 508965: find three consecutive odd intergers such that if six times the first is subtracted from the sum of twice the second plus five times the third, the result is 53 Answer by oberobic(2304) (Show Source):
You can put this solution on YOUR website! x, y and z are three consecutive odd integers.
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-6x +2y +5z = 53
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We can redefine the integers to use only one unknown
x
x+2
x+4
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substitute
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-6(x) +2(x+2) +5(x+4) = 53
-6x +2x +4 +5x +20 = 53
x + 24 = 53
x = 29
x+2 = 31
x+4 = 33
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Answer: The three numbers are 29, 31, and 33.
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Done.
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