Question 803991
let k = Kate's present age
let a = Adrian present age
:
Write an equation for each statement
:
Four years from now, Kateyln will be as old as Adrian is now.
k + 4 = a
this form for elimination
a - k = 4
:
 Seven years ago, the sum of their ages was 22.
(a-7) + k-7) = 22
a + k = 22 + 14
a + k = 36
:
a - k = 4
a + k = 36
--------------Addition eliminates k, find a
2a = 40
a = 20 yrs is Adrian's age
:
You can find Kate's age, check your solutions in both statements




 Write a system of equations and solve is using elimination to determine how old the girls are now.