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The product of the two consecutive positive integers is 11 more than their sum. What are the numbers?

Solution

The product of the two consecutive positive integers is 11 more than their sum. What are the numbers?

Solution

The numbers : 4, 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

The numbers : 4, 5

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