Question

The product of two positive consecutive integers is 240. Find the integers.

Answer 1

It can be done by taking the number x

then x (x + 1) = 240

x² + x = 240

x² + x - 240 =0

x² + 16x - 15x - 240 = 0

x ( x + 16) - 15 ( x + 16) = 0

( x -15 )( x + 16) = 0

x =15 or x = -16

as x is a positive integer

so x = 15 so

one integer is 15 and other is 16

ANSWER