SOLUTION: The sum of two numbers is 50 The smaller number is 22 less than the larger number. What are the numbers?

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Question 1151574: The sum of two numbers is
50 The smaller number is
22 less than the larger number. What are the numbers?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x = smaller number
y = larger number

x = y-22 since "The smaller number is 22 less than the larger number"

x+y = 50 because it says "The sum of two numbers is 50"

x+y = 50
y-22+y = 50 ... replace x with y-22
2y-22 = 50
2y-22+22 = 50+22 ... add 22 to both sides
2y = 72
2y/2 = 72/2 ... divide both sides by 2
y = 36

x = y-22
x = 36-22 ... plug in y = 36
x = 14

The two numbers are 14 and 36.