Question

If you add​ Natalie's age and​ Fred's age, the result is 43. If you add​ Fred's age to 4 times​ Natalie's age, the result is 88. Write and solve a system of equations to find how old Fred and Natalie are.

Answer 1

Natalie's age = n

Fred's age = f

n + f = 43

4n + f = 88

f = 43 - n

4n + (43 - n) = 88

3n + 43 = 88

3n = 45

n = 15

f = 43 - n

f = 43 - 15

f = 28

Natalie is 15

Fred is 28

Hope this helps!