SOLUTION: Find three consecutive odd integers such that 3 times the largest is 57 more than twice the smallest

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Find three consecutive odd integers such that 3 times the largest is 57 more than twice the smallest       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 246134: Find three consecutive odd integers such that 3 times the largest is 57 more than twice the smallest
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 ODD INTEGERS.
3(X+4)=2X+57
3X+12=2X+57
3X-2X=57-12
X=45 ANS. FOR THE SMALLEST INTEGER.
45+4=49 ANS. FOR THE LARGEST INTEGER.
PROOF:
3*49=2*45+57
147=90+57
147=147