SOLUTION: The sum of three numbers is -4. The second number decreased by the third is equal to the first. The sum of the first and the second number is -5. Find the numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of three numbers is -4. The second number decreased by the third is equal to the first. The sum of the first and the second number is -5. Find the numbers.       Log On


   



Question 1126258: The sum of three numbers is -4. The second number decreased by the third is equal to the first. The sum of the first and the second number is -5. Find the numbers.

Answer by Alex.33(110) About Me  (Show Source):
You can put this solution on YOUR website!
How you solve complex word problems
1.What we have?
(1)sum of three is -4.
(2)the second number times 2/3 equals the first.
(3)sum of the first two is -5.

2.What we want?
All three numbers.

3.Design approach
Use (1) and (3) to get the third.
Use (2) and (3) to get the first and second

4.Time to work!
f=first number s=second one t=third one
t=(-4)-(-5)=1.
s=2f/3 *
s+f=-5
f=-3 s=-2 *
5.Celebrate...but only if it's the last question.
Hope next time you see this sort of questions you won't be confused. Good luck with math!