Question

if the product of two consecutive natural numbers is 240, determine the numbers

Answer 1

x(x+1)=24

hope it help uhh

Answer 2

Hi ,

Let x , x + 1 are two consecutive

numbers ,

According to the problem given ,

x ( x + 1 ) = 240

x² + x - 240 = 0

x² + 16x - 15x - 240 = 0

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

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

Therefore ,

x + 16 = 0 or x - 15 = 0

x = - 16 or x = 15

Required consecutive numbers are

( - 16 , - 15 ) or ( 15 , 16 )

I hope this helps you.

:)