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Popular Word Problems >

The product of two consecutive positive integers is 2161 . Find the smaller number.

Solution

T h e p ro d u c t o f tw o co n sec u t i v e p os i t i v e in t e g ers i s 2161 . F in d t h e s ma ll er n u mb er .

Solution

The smallest number : \frac{- 1 + 8645}{2}

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 2161

Solve

x (x + 1) = 2161 : x = \frac{- 1 + 8645}{2}, x = \frac{- 1 - 8645}{2}

Select positive solutions:

\frac{- 1 + 8645}{2}

x + 1 = \frac{- 1 + 8645}{2} + 1

Select the smallest solution:

\frac{- 1 + 8645}{2}

The smallest number : \frac{- 1 + 8645}{2}

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