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Popular Word Problems >

The product of two consecutive negative integers is 56. Find the value of the lesser integer

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Solution

Theproductoftwoconsecutivenegativeintegersis56.Findthevalueofthelesserinteger

Solution

Thesmallestnumber:−8
Solution steps
Represent the numbers with x:
Firstnumber:x
Consecutivenumber:x+1
A.T.Q.:x(x+1)=56
Solve x(x+1)=56:x=7,x=−8
Select negative solutions:−8
x+1=−8+1=−7
Select the smallest solution:−8
Thesmallestnumber:−8

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