SOLUTION: three consecutive integers are such that the first plus one half the second plus seven less than twice the third is 2101. What are the integers

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Question 10124: three consecutive integers are such that the first plus one half the second plus seven less than twice the third is 2101. What are the integers
Answer by bonster(299) About Me  (Show Source):
You can put this solution on YOUR website!
there are 3 consecutive inteters:
#1: x
#2: x+1
#3: x+2

x+%281%2F2%29%28x%2B1%29+%282%29%28x%2B2%29-7=2101
x+%28x%2F2%29%2B%281%2F2%29+2x+4-7=2101
2(x+x%2F2+1%2F2+2x+4-7=2101)
2x+x+1+4x+8x-14=4202
15x-13=4202
15x=4215
x=4215%2F15
x=281

the first number is 281. since they are consecutive numbers, the numbers are 281, 282, 283