Better Students Ask More Questions.
Given that the sum of three numbers is forty-nine. The sum of the first and third...
2 Answers | add yours
High School Teacher
Let's call those three numbers `x,y` and `z.` Their sum is 49 hence
Sum of the first and third is nine less than the second hence
The third is quarter of the second hence
So you have system of three equations with three variables.
Now you can solve this system by using Gauss elimination or some other method.
Your final solution is `x=51/4,` `y=29` and `z=29/4.`
Posted by tiburtius on May 3, 2013 at 6:22 PM (Answer #1)
`z=1/4 y` (3)
Subtracting (5) from (4):
`2y=58` `rArr y=29`
so from (1):
`x+ 145/4 =49`
so the solutions are:`x=51/4;y=29;z=29/4`
Posted by oldnick on May 3, 2013 at 11:32 PM (Answer #2)
Join to answer this question
Join a community of thousands of dedicated teachers and students.