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Question 648866:  The sum of two numbers is 45 and the difference is 11. What are the numbers? 
 Answer by shweta(56)      (Show Source): 
You can  put this solution on YOUR website! Let two numbers be 'x' and 'y' 
Given:Sum of the numbers, x+y=45   .....(1) 
Difference of the numbers,x-y=11   .....(2) 
We have to cancel any one variable, if we add the equations'y' will get cancelled 
 x+y=45 
 x-y=11 
2x=56 
 x=56/2 
 x=28    ...(3) 
Substitute the value of x in say equation 1 
 x+y=45 
28+y=45 
 y=45-28 
 y=17 
  
 
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