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 86. Write and solve a system of equations to find how old Fred and Natalie are

Answer 1

Fred = 26, Natalie = 15

Explanation:

N + F= 41 // N = 41 - F (eqn 1)

4N + F = 86 (eqn 2)

sub eqn 1 into eqn 2

4(41 - F) + F = 86

164 - 4F + F = 86

-3F = - 78

F = 26

sub F = 26 into eqn 1

N = 41 - F

N = 41 - 26

N = 15