by Guest » Sun Oct 07, 2012 2:32 am
suppose the numbers be a,a+1
according to question difference between their squares is 36
(a+1)^2-a^2=36
a^2+1^2+2(a)(1)-a^2=36
a^2+2+2a-a^2=36
2+2a=36
2a=36-2
2a=34
a=17
one number is 17
and other is 18 (17+1)
so the product of numbers is 17*18=306