If you add natalie's age and fred's age, the result is 43. if you add fred's age to 44 times natalie's age, the result is 88. write and solve a system of equations to find how old fred and natalie are.

Let Natalie be x, and Fred, y.

So based on 1st condition, we get

x + y = 43 - Equation 1

â' x = 43-y - Equation 2

Now based on 2nd condition, we get

44x+y=88

Using x from Equation 2, we get

44 (43-y) + y = 88

â' 44x43 - 44y + y = 88

â' 1892 - 44y + y = 88

â' - 44y + y = 88 - 1892

â' 43y = 1804

â' y = 1804/43

â' y = 41.95

Using the value of y in Equation 2

x = 43 - 41.95

â' x = 1.05

So Natalie is 1.05 yrs and Fred is 41.95 yrs old.