Question

The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is Sam?

Let P = Pete's age, S = Sam's age, and P + S = 30. Which of the following equations would complete the system?

A. P - 5 = 3S
B. P - 5 = 3S - 5
C. P - 5 = 3S - 15

Answer 1

P + S = 30

Five years ago,
Peter's age : (P - 5)

Sam's Age is: (S - 5)

Now,
(P - 5) = 3(S - 5)

P - 5 = 3S - 15

P - 3S = -10

Answer 2

Thank you! (: @Broskishelleh