SOLUTION: The smaller of two numbers is 9 less than the larger and their sum is 37. Find the numbers.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The smaller of two numbers is 9 less than the larger and their sum is 37. Find the numbers.      Log On


   

Question 662455: The smaller of two numbers is 9 less than the larger and their sum is 37. Find the numbers.
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
When completing "find the numbers" type word problems, start by establishing the variable.
x = smaller
y = larger
x = y - 9
x+y = 37
Substituting x into the second equation
y - 9 + y = 37
2y - 9 = 37
2y = 37+9
y = 46/2 = 23
x = 23 - 9 = 14
The two numbers are 23 and 14
Verify the correct answers
23-14=9 and 23+14=37
..........................
Delighted to help
-Reading Boosters