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The product of the two consecutive positive integers is 11 more than their sum. What are the numbers? Write the numbers from least to greatest.

Solution

The product of the two consecutive positive integers is 11 more than their sum. What are the numbers? Write the numbers from least to greatest.

Solution

The largest number : 5

Solution steps

Represent the numbers with

x

:

First number : x

Consecutive number : x + 1

A.T.Q.:

x (x + 1) = 11 + x + x + 1

Solve

x (x + 1) = 11 + x + x + 1 : x = 4, x = - 3

Select positive solutions:

4

x + 1 = 4 + 1 = 5

Select the largest solution:

5

The largest number : 5

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