Question

Age  If you add​ Natalie's age and​ Fred's age, the result is 46. If you add​ Fred's age to 3 times​ Natalie's age, the result is 76. Write and solve a system of equations to find how old Fred and Natalie are.
Question content area bottom
Part 1
Fred is
  
enter your response here years old. Natalie is
  
enter your response here years old.

Answer 1

Let N = Natalie's age and F = Fred's age.

Equations:
1) N + F = 46
2) 3N + F = 76

Subtract (1) from (2): (3N + F) - (N + F) = 76 - 46 → 2N = 30 → N = 15.
Then F = 46 - N = 46 - 15 = 31.

Fred is 31 years old. Natalie is 15 years old.