SOLUTION: three consecutive odd integers have a su, of 591. Name three numbers in terms of one variable, create an equation, show the work to solve the equation, and write a statement summar

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: three consecutive odd integers have a su, of 591. Name three numbers in terms of one variable, create an equation, show the work to solve the equation, and write a statement summar      Log On


   

Question 262294: three consecutive odd integers have a su, of 591. Name three numbers in terms of one variable, create an equation, show the work to solve the equation, and write a statement summarizing your results.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
LET X, X+2 & X+4 BE THE 3 NUMBERS.
X+X+2+X+4=591
3X=591-6
3X=585
X=585/3
X=195 ANS. FOR THE FIRST NUMBER.
195+2=197 FOR THE NEXT NUMBER.
195+4=199 FOR THE LARGEST NUMBER.
PROOF:
195+197+199=591
591=591