Question

If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times

Natalie's age, the result is 70. Write and solve a system of equations to find how old Fred and
Natalie are.

Answer 1

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.