Answered

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the sum of four consecutive odd integers is 12. find the numbers.


Sagot :

[tex]Equation; \\ x+1+x+3+x+5+x+7=12 \\ \\ 4x+16=12 \\ \\ 4x=12-16 \\ \\ 4x=-4 \\ \\ \frac{4x}{4}=\frac{-4}{4}\ \ \ \ \ \ \ \ |\ Divide\ both\ terms\ by\ 4\ to\ get\ the\ value\ of\ x... \\ \\ \boxed{x=-1} [/tex]

[tex]Let's\ substitute\ x\to-1; \\ \\ x+1\to-1+1=\boxed{0} \\ \\ x+3\to-1+3=\boxed{2} \\ \\ x+5\to-1+5=\boxed{4} \\ \\ x+7\to-1+7=\boxed{6} \\ \\ Since\ then,\ our\ x\ is\ equal\ to\ a\ negative\ number, \\ then\ the\ consecutive\ numbers\ are\ all\ \underline{even\ numbers}... \\ \\ The\ 4\ even\ consecutive\ numbers\ are\ \underline{0},\underline{2},\underline{4}\ and\ \underline{6}. \\ \\ Hope it Helps :) \\ Domini[/tex]