Answer :
The integers are -1,1 and 3
Further Explanation:
Let x be an integer then 2x will be an even integer and 2x+1 will be an odd integer
Hence three consecutive integers will be:
2x+1
2x+1+2 = 2x+3
2x+3+2 = 2x+5
2 is added to the previous odd number to get next odd number because the immediate next number to odd number is an even number.
So according to given statement
[tex](2x+1)+(2x+3)+(2x+5) = 3\\6x+9 = 3\\6x = 3-9\\6x = -6\\x = -1[/tex]
The integers are:
[tex]2x+1 = 2(-1)+1 = -2+1 = -1\\2x+3 = 2(-1) +3 = -2+3 = 1\\2x+5 = 2(-1)+5=-2+5 = 3[/tex]
Hence the consecutive integers are: -1,1,3
Keywords: Linear Equation, Solution to linear equation in one variable
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