Question

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

Answer 1

Answer:

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: