SOLUTION: the sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the numbers

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Question 347065: the sum of three numbers is 85. The second is 7 more than the first. The third is 2 more than four times the second. Find the numbers
Answer by ptaylor(2198)   (Show Source): You can put this solution on YOUR website!
Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parens
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
Hope this helps---ptaylor

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