SOLUTION: The sum of three numbers is 16. One of the numbers is 2 more than twice a second number, amd 2 less than the third number. Find the numbers.

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Question 137893: The sum of three numbers is 16. One of the numbers is 2 more than twice a second number, amd 2 less than the third number. Find the numbers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the numbers a, b, nd c.
a+%2B+b+%2B+c+=+16
a+=+2b+%2B+2
a+=+c+-+2
Now solve for b and c in terms of a
2b+=+a+-+2
b+=+a%2F2+-+1
and
c+=+a+%2B+2
a+%2B+%28a%2F2+-+1%29+%2B+%28a+%2B+2%29+=+16
5a%2F2+%2B+1+=+16
5a%2F2+=+15
5a+=+30
a+=+6
b+=+a%2F2+-+1
b+=+6%2F2+-+1
b+=+2
c+=+a+%2B+2
c+=+8
The numbers are 6, 2, and 8