If you add Natalie's age and Fred's age, the result is 43. If you add Fred's age to 3 times Natalie's age, the result is 73. Write and solve a system of equations to find how old Fred and Natalie are.

Answer 1

Let Natalie's Age be x

Let Fred's age be y

Equation 1: x + y = 43

Equation 2: 3x + y = 73

Based on Equation 1: x + y = 43

Therefore x = 43 - y

Now substitute x in equation 2:

3(43 - y) + y = 73

129 - 3y + y = 73

129 - 2y = 73

-2y = 73 - 129

-2y = -56

2y = 56

y = 56/2

y = 28.

put value of y back in equation 1

x + y = 43

x + 28 = 43

x = 43- 28

x = 15

Thus Natalie's Age is 15 & Fred's Age is 28