SOLUTION: find three consecutive even intergers such that the sum of the smallest and twice the second is 20 more than the third x,x+2,x+4 x=2(x+2)=(x+4)+20

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Question 109125: find three consecutive even intergers such that the sum of the smallest and twice the second is 20 more than the third
x,x+2,x+4
x=2(x+2)=(x+4)+20

Answer by MathLover1(20850) About Me  (Show Source):
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find three consecutive even intergers such that the sum of the smallest and twice the second is 20 more than the third
x,x%2B2,x%2B4
x is smalest integer
x%2B2 is the second integer, and twice the second is 2%28x%2B2%29
x%2B4 is the third integer
the sum of the smallest and twice the second is:
x+%2B+2%28x%2B2%29
the smallest and twice the second is 20 more than the third
x+%2B+2%28x%2B2%29=+%28x%2B4%29+%2B+20
now solve for x:

x+%2B+2x+%2B+4=+x%2B4+%2B+20...move xto the left and 4 the the right
x+%2B+2x+-+x+=+4+%2B+20+-+4..add all terms on both sides
2x+=+20.......divide both sides by 2
x+=+10.........SMALLEST integer
then
x%2B2+=+12.....second integer
and
x%2B4=+14...third integer

check:
the sum of smallest and second integer is: 10+%2B+2%2A12+=+34
34+=+14+%2B+20........where 14 is the third integer