SOLUTION: 29. The product of two consecutive odd whole numbers is 143. Find the numbers.

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Question 74398This question is from textbook Prentice Hall Algebra 1 Practice Workbook
: 29. The product of two consecutive odd whole numbers is 143. Find the numbers.
This question is from textbook Prentice Hall Algebra 1 Practice Workbook

Found 2 solutions by Edwin McCravy, rmromero:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

The product of two consecutive odd whole numbers
is 143. Find the numbers. 


There is no solution. You can try for one, but 
the sum of any two ODD numbers must be EVEN, but 
143 is ODD!

You can try with

n + (n+2) = 143

n + n + 2 = 143
   2n + 2 = 143
       2n = 131
        n = 65.5, which is NOT an integer, and
therefore shows there is no solution.

Edwin

Answer by rmromero(383)   (Show Source): You can put this solution on YOUR website!

The product of two consecutive odd whole numbers is 143. Find the numbers.
What is asked in the problem?
Find the numbers

Given:
the product of two consecutive odd whole number is 143


Representation
Let n = the first odd whole number
n+2 = the second odd whole number
Equation:
n(n+2) = 143
n^2 + 2n = 143
n^2 + 2n - 143 = 0
Factor
n^2 + 2n + 1 = 143 + 1
(n + 1)^2 = 144
n + 1 = +-12
n = 11 n= -13
n = -13 is not a solution because -13 is not a whole number
therefore the first odd whole number is 11
The second odd whole number is n + 2 = 11 + 2 = 13


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