Problema Solution

If you add Natalie's age and Fred's age, the result is 39. If you add Fred's age to 3 times Natalie's age, the result is 69. Write and solve a system of equations to find how old Fred and Natalie are.

Answer provided by our tutors

let


n = Natalie's age


f = Fred's age


If you add Natalie's age and Fred's age, the result is 39:


n + f = 39


If you add Fred's age to 3 times Natalie's age, the result is 69:


f + 3n = 69


by solving the system of equations:


n + f = 39


f + 3n = 69


we find:


f = 24 years


n = 15 years


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Fred is 24 years old.


Natalie is 15 years old.