Question

There are two consecutive number such that different of their reciprocals is 1/240.the numbers are

Answer 1

let the number be n and n+1
1/n-1/n+1=1/240
(n+1-n)/n(n+1)=1/240
1/n(n+1)=1/240
reciprocate both side
n(n+1)=240
n^2+n-240=0
n^2+16n-15n-240=0
n(n+16)-15(n+16)=0
(n-15)(n+16)=0
n=-16,15
 so taking n=-16 
numbers are -16,-15
now
taking n=15
numbers are 15,16

pls mark it as brainliest.

Answer 2

the answer will be 5 after that 6