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Popular Word Problems >

The product of two consecutive positive integers is 812. What is the value of the lesser integer

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 812. Wha t i s t h e v a l u e o f t h e l esser in t e g er

Solution

The smallest number : 28

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 812

Solve

x (x + 1) = 812 : x = 28, x = - 29

Select positive solutions:

28

x + 1 = 28 + 1 = 29

Select the smallest solution:

28

The smallest number : 28

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