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.

Question

Answer:

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.

solved

general 11 months ago 2389

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.

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.