Question 655490
  <pre><font face = "Tohoma" size = 3 color = "indigo"><b> 
Hi,
the sum of two {{{positive}}} integers{{{highlight(x)}}} and {{{highlight(y)}}}<u>is</u> 4 times the smaller{{{highlight(x)}}}. 
Question states***
 x + y = 4x   Or {{{y = 3x}}}
Question also states***
the positive difference of their squares <u>is</u> 8 times the larger
 y^2 - x^2 = 8y
 (3x)^2 - x^2 = 8(3x)
  9x^2 - x^2 = 24x
  8x^2 - 24x = 0
 8x(x - 3) = 0
 8x = 0 ,  x = 0   Toss out this solution (0 is not a positive integer)
0r 
(x - 3) = 0 , x = 3  and  y = 9
and...  {{{81-9 = 72 = 8*9}}}
Product of the two integers is 27