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the product of the sum and the difference of two numbers is 105. Find the two numbers

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Shaundavidcalfoid
The numbers are (possibly) consecutive
Let x and x+1 be the numbers
  ( x + 1 + x )( x + 1 - x ) = 105
  ( 2x + 1 )( 1 ) = 105
  2x + 1 = 105
  2x = 105 - 1
  2x = 104
  x = 52
  x + 1 = 53
Therefore, the numbers are 52 and 53.
I believe that there's a missing statement not posted here :-)

Let first number by x
      second number be y

If we add the the two numbers (sum) :  x + y
If we subtract the two numbers (difference) :  x - y

The product of the sum and difference:  Multiply:
(x + y ) (x - y) = 105

The missing statement / condition will help us transform y in terms of x:-)


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