Question

If you add​ Natalie's age and​ Fred's age, the result is 40. If you add​ Fred's age to 3 times​ Natalie's age, the result is 64 . Write and solve a system of equations to find how old Fred and Natalie are.

Answer 1

Fred is 28, and Natalie is 12.

Explanation:

Let f = Fred's age, and let n = Natalie's age.

f + n = 40

f + 3n = 64

Subtract the first equation from the second equation.

2n = 24

n = 12

f + n = 40

f + 12 = 40

f = 28

Fred is 28, and Natalie is 12.