The reciprocal of the product of two consecutive integers is 1/210. Find the integers
Please help!!!.

The reciprocal of the reciprocal is the original number.

So we need  

n

⋅

(

n

+

1

)

=

30

You can try factoring  

30

in different ways, but it will be clear that only  

5

and

6

satisfy the condition of being consecutive.

Explanation:

silk

indigo  

rice

all the other answers are wrong