Question 163814: find the consecutive odd numbers such that twice the sum of the first and second is one more than three times the third. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! find the consecutive odd numbers such that twice the sum of the first and second is one more than three times the third.
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Let x = 1st consecutive odd number
then
x+2 = 2nd consecutive odd number
x+4 = 3rd consecutive odd number
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From: "twice the sum of the first and second is one more than three times the third" we get:
2(x + x+2) = 3(x+4)+1
2(2x+2) = 3(x+4)+1
4x+4 = 3x+12+1
4x+4 = 3x+13
x+4 = 13
x = 9 (1st number)
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2nd number:
x+2 = 9+2 = 11
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3rd number:
x+4 = 9+4 = 13
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Ans: 9, 11, 13
