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.

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) (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

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