Question

If you add​ Natalie's age and​ Fred's age, the result is 41. If you add​ Fred's age to 4 times​ Natalie's age, the result is 80. Write and solve a system of equations to find how old Fred and Natalie are

Answer 1

n = Natalie’s age
f = Fred’s age

n + f = 41
f + 4n = 80

Solve:
n = 41 - f
f + 4(41 - f) = 80
f + 164 -4f =80
-3f + 164 = 80
-3f = -84
f = 28

n + 28 = 41
n = 13

(28, 13)