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Popular >

The product of two consecutive positive integers is 2256. Find the smaller number

Solution

The product of two consecutive positive integers is 2256. Find the smaller number

Solution

The smallest number : 47

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 2256

Solve

x (x + 1) = 2256 : x = 47, x = - 48

Select positive solutions:

47

x + 1 = 47 + 1 = 48

Select the smallest solution:

47

The smallest number : 47

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