SOLUTION: The sum of two numbers divided by 2 gives a quotient of 26, and their difference divided by 2 gives a quotient of 19. What are the numbers? State the numbers in the descending orde

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Question 1128117: The sum of two numbers divided by 2 gives a quotient of 26, and their difference divided by 2 gives a quotient of 19. What are the numbers? State the numbers in the descending order.
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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The condition LITERALLY says THIS:


%28x%2By%29%2F2 = 26,     (1)

%28x-y%29%2F2 = 19.     (2)


Add the equations. You will get


x%2F2 + x%2F2 = 26 + 19 = 45,   or   x = 45.


Now SUBTRACT eq(2) from eq(1). Then you will get

y = 26-19 = 7.


Answer.  The numbers are 45 and 7.