# If the reciprocal of the product of the two consecutive integers is 1/30 how do you find the two integers?

##### 2 Answers

Then the product must be the reciprocal of

#### Explanation:

The reciprocal of the reciprocal is the original number.

So we need

You can try factoring

#### Explanation:

** *Integers:*** The numbers which are not fractional(like

Let A, B be two consecutive numbers.

suppose A=n say.

Then B must be "n+1" as it is next number to A.

Product of two consecutive numbers=AB.

The reciprocal of the product of the two consecutive integers=

But, the reciprocal of the product of the two consecutive integers is 1/30.

From equality rule,

Ultimately,

Just substitute assumed A,B values.

**If # n=5#;**

**If #n=-6:#**