The product of two consecutive integers is 47 more than the next consecutive integer. What are the two integers?

1 Answer
Aug 20, 2016

#-7 and -6#
OR
#7 and 8#

Explanation:

Let the integers be #x, x+ 1 and x + 2#.

Then #x(x + 1) - 47 = x + 2#

Solving for x:

#x^2 + x - 47 = x + 2#

#x^2 - 49 = 0#

#(x + 7)(x - 7) = 0#

#x = -7 and 7#

Checking back, both results work, so the two integers are either #-7 and -6# or #7 and 8#.

Hopefully this helps!