# SOLUTION: Find a counterexample to show that the following statement is incorrect: “The sum of any two odd numbers is divisible by 4”

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Sequences-and-series Question 120479: Find a counterexample to show that the following statement is incorrect: “The sum of any two odd numbers is divisible by 4” Found 2 solutions by stanbon, MathLover1:Answer by stanbon(57291)   (Show Source): You can put this solution on YOUR website!3+7=10 which is not divisible by 4 ========== Cheers, Stan H. Answer by MathLover1(6625)   (Show Source): You can put this solution on YOUR website!show that the following statement is : “." first recall some of relating to numbers: -All odd numbers can be expressed as where is a whole number. -Sum or difference of numbers is . -Sum of and number is . also recall that: -A number by , when the number formed by the last two right hand digit is divisible by . -Or, a number is by , if its two last digits are or they make a , which is divisible by . Any integer can be put into of the four cases , , , and . Since and are , only the cases and need be considered. that is the number. Then has a factor of and has a factor of ; that is, is divisible by . If we choose numbers, let’s say and , and their squares ( in this case) we will find that the is by . ….…… => .. by . If and are they have the form and . Then , which has a of when divided by and so can not be equal to , which is exactly divisible by . Therefore the that is is . Since that of the terms , one of and , and .