Question

Age 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 79. Write and solve a system of equations to find how old Fred and
Natalie are.
Fred is
years old. Natalie is
years old.

Answer 1

Let’s take fred age as x and Natalie’s age as y.
So,
A/Q
X + Y = 43. Let it be eqution 1
and
X + 4Y = 79. Let it be equation 2


Combining equation 1 and 2, we get

( X + Y) + 3Y = 79
43 + 3Y = 79
3Y = 36
Y = 12

Now, evaluating the value of Y in equation 1 we get,

X + 12 = 43
X = 31

Therefore, Fred is 31years old and Natalie is 12 years old.