Question

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

Please help!!!.​

Answer 1

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.

Step-by-step explanation: