SOLUTION: find three consecutive odd integers such that three times the second number added to twice the third number is seven times the first integer. find the three consecutive odd integer
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-> SOLUTION: find three consecutive odd integers such that three times the second number added to twice the third number is seven times the first integer. find the three consecutive odd integer
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Question 71529: find three consecutive odd integers such that three times the second number added to twice the third number is seven times the first integer. find the three consecutive odd integers. Answer by ptaylor(2198) (Show Source):
You can put this solution on YOUR website! Let x=first integer
Then x+2=second integer
And x+4=third integer
3(x+2)=three times the second number
2(x+4)=twice the third number
Now we are told that:
3(x+2)+2(x+4)=7x get rid of parens
3x+6+2x+8=7x collect like terms
5x+14=7x subtract 5x from both sides
14=7x-5x
14=2x divide both sides by 2
x=7------------------first integer
x+2=9----------------------second integer
x+4=11--------------------------3rd integer
CK
3(9)+2(11)=7(7)
27+22=49
49=49
