[2.05] Currently, Sam's coach is three times older than Sam. When Sam started soccer 5 years ago, his coach was five times his age. How old is Sam now?

15

10

7

5

Question

[2.05] Currently, Sam's coach is three times older than Sam. When Sam started soccer 5 years ago, his coach was five times his age. How old is Sam now? 

 15 

 10 

 7 

 5

anonymous · Answer

10

matt101 · Answer

Let the coach's age be C and Sam's age be S.

Sam's coach is three times older than Sam     -->     C = 3S

When Sam started soccer 5 years ago, his coach was five times his age   -->   C - 5 = 5(S - 5)

Two equations, two unknowns...solve the system and you have your answer :)