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Popular Word Problems >

The product of two consecutive integers is 143.

Solution

T h e p ro d u c t o f tw o co n sec u t i v e in t e g ers i s 143.

Solution

The numbers : \frac{- 1 + 573}{2}, \frac{- 1 + 573}{2} + 1 or \frac{- 1 - 573}{2}, \frac{- 1 - 573}{2} + 1

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 143

Solve

x (x + 1) = 143 : x = \frac{- 1 + 573}{2}, x = \frac{- 1 - 573}{2}

Plug in

x = \frac{- 1 + 573}{2} : \frac{- 1 + 573}{2} + 1

Plug in

x = \frac{- 1 - 573}{2} : \frac{- 1 - 573}{2} + 1

The numbers : \frac{- 1 + 573}{2}, \frac{- 1 + 573}{2} + 1 or \frac{- 1 - 573}{2}, \frac{- 1 - 573}{2} + 1

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