SOLUTION: Good morning, Please help me solve this equation. solve algebraically using only one variable: find three consecutive odd integers such three times the sum of the second and th

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Question 944788: Good morning,
Please help me solve this equation.
solve algebraically using only one variable: find three consecutive odd integers such three times the sum of the second and third integer is two less than twice the first integer.
Thank you!
Best,
SM
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
First integer is I, Second is I+2, Third is I+4
Three times the sum of the second and third integer is two less than twice the first integer.
3((I+2)+(I+4))+2=2I
3(I+2+I+4)+2=2I
3(2I+6)+2=2I
6I+18+2=2I
6I+20=2I Subtract 2I from each side
4I+20=0 Subtract 20 from each side
4I=-20 Divide each side by 4
I=-5 ANSWER 1: First digit is -5
I+2=-5+2=-3 ANSWER 2: Second digit is -3
I+4=-5+4=-1 ANSWER 3: Third digit is -1
CHECK
3*(-3+(-1))=2*(-5)-2
3*(-4)=(-10)-2
(-12)=(-12)