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Popular Word Problems >

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

Solution

T h e p ro d u c t o f t h e tw o co n sec u t i v e p os i t i v e in t e g ers i s 11 m ore t han t h e i r s u m . Wha t a re t h e n u mb ers ?

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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