SOLUTION: Find 3 consecutive integers such that thrice the first plus twice the second is 16 less than the third number.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Find 3 consecutive integers such that thrice the first plus twice the second is 16 less than the third number.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 989104: Find 3 consecutive integers such that thrice the first plus twice the second is 16 less than the third number.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
F=first integer; S=second integer=F+1; T=third integer=F+2
.
3F+2S=T-16
3F+2(F+1)=(F+2)-16
3F+2F+2=F-14
5F+2=F-14
4F=-16
F=-4 ANSWER 1: The first integer is -4.
S=F+1=-4+1=-3 ANSWER 2: The second integer is -3.
T=F+2=-4+2=-2 ANSWER 3: The third integer is -2.
.
CHECK:
.
3F+2S=T-16
3(-4)+2(-3)=(-2)-16
(-12)+(-6)=-18
-18=-18