SOLUTION: The sum of two numbers is 52 . The smaller number 8 is less than the larger number. What are the numbers?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The sum of two numbers is 52 . The smaller number 8 is less than the larger number. What are the numbers?      Log On


   

Question 1161933: The sum of two numbers is 52 . The smaller number 8 is less than the larger number. What are the numbers?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39621) About Me  (Show Source):
You can put this solution on YOUR website!
x%3Cy

x%2By=52
-
x=y-8


If substitute,
y-8%2By=52
2y=60
highlight%28y=30%29
and
highlight%28x=22%29

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two numbers is 52 . The smaller number 8 is less than the larger number. What are the numbers?
--------
a + b = 52
a - b = 8
------------- Add
2a = 60
a = 30
b = 22