Question

Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times

Natalie's age, the result is 76. Write and solve a system of equations to find how old Fred and
Natalie are.

Answer 1

Fred is 28 yrs old. Nathalie is 12yrs old

Explanation:

Let Nathalie's age be x

Let Fred's age be a

x+a=40 yrs•••••1

4x+a=76yrs•••••2

a=40-x

Substitute a for 40-x in equation (2)

4x+40-x=76

3x=76-40

3x=36

x=12

a=40-12

a=28