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Popular Word Problems >

the product of two consecutive positive numbers is 24.find the numbers

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 n u mb ers i s 24. f in d t h e n u mb ers

Solution

The numbers : \frac{- 1 + 97}{2}, \frac{- 1 + 97}{2} + 1

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 24

Solve

x (x + 1) = 24 : x = \frac{- 1 + 97}{2}, x = \frac{- 1 - 97}{2}

Select positive solutions:

\frac{- 1 + 97}{2}

x + 1 = \frac{- 1 + 97}{2} + 1

The numbers : \frac{- 1 + 97}{2}, \frac{- 1 + 97}{2} + 1

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