<PRE><B>Question 1073860</B>
If the sum of two positive integers is 24
a + b = 24
a = (-b+24)
 and the difference of their squares is 48.
a^2 - b^2 = 48
replace a with (-b+24)
(-b+24)^2 - b^2 = 24
FOIL
b^2 - 48b + 576 - b^2 = 48
-48b = 48 - 576
-48b = -528
b = -528/-48
b = +11
then
a = -11 + 24
b = 13
:
 What is the product of the two integers? 
11 * 13 = 143
:
;
Check: 13^2 - 11^2 = 48 </PRE>