There are two consecutive odd integers whose sum is 340. They are 169 and 171.
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The sum of the squares of two consecutive positive even integers is 340. Find the integers.
There are no such integers. Proof: choose any positive whole number x two consecutive even integers: (2x) (2x+2) Take the sum (2x)+(2x+2) (2x)+(2x+2)=340 4x+2=340 4x=338 x=338/4=84.5 Since this is not a whole number, there is no whole number that satisfies the conditions. (There are two consecutive odd integers which add up to 340: 169 and 171)
Addition of two consecutive positive integers will always make an odd number. Therefore, this is an impossible sum.
There are no two consecutive even integers, consecutive odd integers, or consecutive integers that satisfy that relationship.
There is no set of two consecutive integers equating to 200.