SOLUTION: Amanda is 5 years older than Peter and Sam is 3 years younger then Peter.If the sum of their ages is 50,find their respective ages.

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Question 1129639: Amanda is 5 years older than Peter and Sam is 3 years younger then Peter.If the sum of their ages is 50,find their respective ages.
Found 2 solutions by josmiceli, asvab:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Amanda's age now
Let +b+ = Peter's age now
Let +c+ = Sam's age now
--------------------------------------
(1) +a+=+b+%2B+5+
(2) +c+=+b+-+3+
(3) +a+%2B+b+%2B+c+=+50+
-----------------------------
Substitute (1) and (2) into (3)
(3) +b+%2B+5+%2B+b+%2B+b+-+3+=+50+
(3) +3b+%2B+2+=+50+
(3) +3b+=+48+
(3) +b+=+16+
and
(1) +a+=+16+%2B+5+
(1) +a+=+21+
and
(2) +c+=+16+-+3+
(2) +c+=+13+
------------------------
Amanda is 21
Peter is 16
Sam is 13
------------------------
check:
(1) +21+=+16+%2B+5+
(1) +21+=+21+
OK
You can finish checking

Answer by asvab(1) About Me  (Show Source):