Hi

difference is 10

Let x and (x-10) represent the numbers

question states***

 x(x-10) = 96

solving for x

 x^2 - 10x = 96

x^2 - 10x - 96 = 0

(x - 16)(x + 6) = 0 Note:SUM of the inner product(-6x) and the outer product(6x) = -10x

(x - 16)=0

  x = 16     this pair of Numbers are 16 and 6  | 6*16 = 96

(x + 6) = 0

  x = -6    this pair Numbers are -6 and -16    | -1*-16 = 96 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 Since the difference is 10, the units digits have to be the same.

Only 4*4 and 6*6 give a units digit in the product of 6.

4*24 is not it, and 14 is not a factor.

That leaves 6 & 16.

---------------------

You can work it out with algebra, but it takes longer.

If it's a question on a test, and showing work is not required, do it the fastest way possible.

 

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