SOLUTION: How i Add any five odd numbers which is lie between 1 to 20, and sum of that five number is 50.

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Question 799804: How i Add any five odd numbers which is lie between 1 to 20, and sum of that five number is 50.
Answer by solver91311(24713) About Me  (Show Source):
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Cannot be done. The sum of two odd numbers is an even number, the sum of two even numbers is an even number and the sum of an odd number and and even number is an odd number.

Let the first odd number in the range 1 to 20 and then be the other four odd numbers.

Regardless of the actual value of and , the sum must be even since both of the addends are odd.

Likewise must also be even, and furthermore must then be even because both addends are even.

Then, since the sum of the first four is necessarily even, adding the fifth odd number makes the grand total an odd number. But 50 is an even number, hence no solution.

John

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