SOLUTION: The sum of the three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the third number. Set up a system and find the num
Algebra.Com
Question 908080: The sum of the three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the third number. Set up a system and find the numbers.
We are doing a system of 3 equations. The answers are 4, 3, and -1. I need help with setting up the equations and what they are.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
let's numbers be: first is , second is , and third is
given:
The sum of the three numbers is .
....eq.1
The third number () is the sum of the first () and second ()numbers.
....eq.2
The first number is than the third number .
....eq.3
so, we have system:
....eq.1
....eq.2
....eq.3
_________________________________
start with
....eq.1 and substitute from eq.2
or ......1a
go to ....eq.2 and you will see that ...1a and eq.2 have same values on right side which means
now go to ....eq.3, plug in and find
....eq.3
and, finally go to ....eq.1,plug in and ,than find
RELATED QUESTIONS
The sum of three numbers is 6. The
third number is the sum of the first
and second... (answered by rahman,bam878s)
The sum of three numbers is 6. The third number is the sum of the first and second... (answered by stanbon)
The sum of the Three Numbers is 55. The second number is twice the first number, and the... (answered by rfer)
The sum of three numbers is 71. The second number is twice the first number, and the... (answered by macston)
the sum of three numbers is 6. The third number is the sum of the first and second... (answered by stanbon)
The sum of three numbers is 26. The second number is twice the first and the third number (answered by mananth)
The sum of three numbers is 105. The second number is 10 larger than the first and the... (answered by stanbon)
The sum of three numbers is 5. The sum of the first and second number is 3, and the... (answered by ankor@dixie-net.com)
The sum of three numbers is 4. the first number is one-fourth of the second number and... (answered by Cromlix)
The sum of three numbers is 84. The second number is 6 less than the first . The third... (answered by ewatrrr)