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Question 427905: find the three consecutive odd integers
such that three times the smallest
plus four times the largest will result
in the middle integer plus 104.
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "find the three consecutive odd integers
such that three times the smallest
plus four times the largest will result
in the middle integer plus 104."
x = 1st consecutive odd integer
x + 2 = 2nd consecutive odd integer
x + 4 = 3rd consecutive odd integer
3x + 4(x + 4) = x + 2 + 104 {three times smallest plus four times largest equals middle plus 104}
3x + 4x + 16 = x + 2 + 104 {used distributive property}
7x + 16 = x + 106 {combined like terms}
7x = x + 90 {subtracted 16 from both sides{
6x = 90 {subtracted x from both sides}
x = 15 {divided both sides by 6}
x + 2 = 17 {substituted 15, in for x, into x + 2}
x + 4 = 19 {substituted 15, in for x, into x + 4}
15, 17, and 19 are the three consecutive odd integers
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