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

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Question 1129638: Amanda is 5 years older than Peter and Sam is 3 years younger than Peter.If the sum of their ages is 50, find their respective ages.
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Amanda is 5 years older than Peter 
A = P+5

and Sam is 3 years younger than Peter.
S = P-3

If the sum of their ages is 50, 
A+P+S = 50

Substitute (P+5) for A, and (P-3) for S in A+P+S = 50:

(P+5)+P+(P-3) = 50

Solve for P, that's Peter's age.

Substitute what you get for P in A = P+5 to get Amanda's age.

Substitute what you get for P in S = P-3 to get Peters's age.

Edwin