funzo
the numbers are x and x-1
a.
"product of them is equal to 35 more than 11 times sum of them" translated to maths is
(x)(x-1)=35+11(x+x-1)
we need to get it into standard form ()
expand
b.
factor
what 2 numbers multiply to get -24 and add to get -23?
-24 and 1
set each equal to 0
x-24=0, x=24
x+1=0, x=-1
the solutions are 24 and -1
c.
if x=24, then x-1=23, the 2 numbers are 24 and 23
if x=-1, then x-1=-2, the 2 numbers are -1 and -2
since the question did not specify if the numbers had to be of a certain sign (positive or negative) or something like that, there are 2 pairs of consecutive numbers that satisfy the equation