SOLUTION: The sum of three numbers is 47. The second numbers is half the first while the third is 1 less than the second. Find the three numbers?

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Question 685679: The sum of three numbers is 47. The second numbers is half the first while the third is 1 less than the second. Find the three numbers?
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
First = x
second = y
third = z

Rewrite the problem using those:

>>The sum of x,y, and z is 47. 
y is half of x while z is 1 less than y. 
Find the three numbers?<<

Look at the first part:

>>The sum of x,y, and z is 47.<< 

That says x + y + z = 47

Look at the second part:

>>y is half of x<<

That says y = 1%2F2x

Look at the third part

>>while z is 1 less than y.<<

That says z = y - 1

So you have this system of equations:

system%28x%2By%2Bz=47%2Cy+=+expr%281%2F2%29x%2C+z=y-1%29

Solve that system.  You'll know if you have the right
answer because y will be half of x, and z will be one
less that y, amd when you add them all you'll get 47.

Edwin