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The product of two consecutive positive integers is 110. Find the value of the lesser integer.

Solution

The product of two consecutive positive integers is 110. Find the value of the lesser integer.

Solution

The smallest number : 10

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 110

Solve

x (x + 1) = 110 : x = 10, x = - 11

Select positive solutions:

10

x + 1 = 10 + 1 = 11

Select the smallest solution:

10

The smallest number : 10

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