Question 155747
Consecutive odd integers follow the pattern: {{{2x+1}}}, {{{2x+3}}}, {{{2x+5}}}, {{{2x+7}}}, etc...



So if "the sum of 4 consecutive odd integers is 216", then this means that the equation is {{{2x+1+2x+3+2x+5+2x+7=216}}}



{{{2x+1+2x+3+2x+5+2x+7=216}}} Start with the given equation.



{{{8x+16=216}}} Combine like terms on the left side.



{{{8x=216-16}}} Subtract {{{16}}} from both sides.



{{{8x=200}}} Combine like terms on the right side.



{{{x=(200)/(8)}}} Divide both sides by {{{8}}} to isolate {{{x}}}.



{{{x=25}}} Reduce.



{{{2x+1}}} Go back to the first number (which is the smallest integer of the four)



{{{2(25)+1}}} Plug in {{{x=25}}}



{{{50+1}}} Multiply



{{{51}}} Add



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Answer:


So the smallest integer of the group is 51





Check:


51+53+55+57=216


216=216 ... works