Answered

Makakuha ng detalyadong mga sagot sa lahat ng iyong katanungan sa IDNStudy.com. Makakuha ng mga sagot sa iyong mga tanong mula sa aming mga eksperto, handang magbigay ng mabilis at tiyak na solusyon.

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

Sagot :

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:-)