Let
a--------> the first whole number
a+1-----> the second consecutive whole number
we know that
if 90 lies between
then
[a+(a+1)]/2=90-------> 2a+1=180----> a=179/2-------> a=89.5
a=89.5
a+1=90.5
but
89.5 and 90.5 are not whole numbers
therefore
No solutions exist
the answer is
No solutions exist
