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To find three odd numbers that add up to 50, we can set up an equation where x, y, and z are the three odd numbers. Since odd numbers are always in the form of 2n+1, where n is an integer, we can represent the three odd numbers as x=2a+1, y=2b+1, and z=2c+1. Therefore, the equation becomes (2a+1) + (2b+1) + (2c+1) = 50. Simplifying the equation, we get 2(a+b+c) + 3 = 50. Since 3 is odd, we cannot express it as the sum of three odd numbers.
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What two prime numbers added together equals 97?
No two prime numbers added together have a sum of 97. All primes except the number 2 are odd numbers, and two odd numbers added together always produce an even sum.
Five numbers added together make an odd number what do you know about the numbers?
The Answer:We know the following properties of the parities concerning the numbers: odd + odd = eveneven + odd = odd (commutativity yields the vice verca possible too)even + even = evenThus, we know that the group of numbers have at least 1 odd. However, since 2 odds make an even, any amount of even amount of odds make an even. Therefore, there must be an odd number of odds (i.e., {1, 3, 5}, the only ones that exist in that set).QED.
Why does an even number plus an odd number always equal an odd number?
For any even number n, the following integer is odd (n+1), so for any odd number other than 1, you are adding the preceding even number, plus 1. Because all even numbers are multiples of 2, their sum is even, and 1 more will be an odd number.---Think of the odd number as an even number plus one and remember that all even numbers are multiples of two.Therefore:- Any two even numbers added together will always be a multiple of two and therefore even. Any two odd numbers added together will be the same as adding two even numbers plus 1 plus 1. (A multiple of two plus two which is still a multiple of two).An odd number added to an even number will be the same as two even numbers plus 1 in other words a multiple of two (even) plus one making the result odd.Extrapolating further it's easy to see that by the above reasoning that for all positive integers...Any number of even numbers added together will always be even.An odd number of odd numbers added together will always be odd.Any even number of odd numbers added together will always be even,Adding any number of even numbers to any number of odd numbers will make no difference to the outcome, the odd or even outcome will still be determined by the number of odd numbers being added together.---Another approach:Let n, r be real numbers even number representation: 2nodd number representation: 2n + 1sum = 2n + 2n + 1 = 4n + 1 = 2(2n) + 1let 2n = rsum representation becomes: 2r + 1, which is a representation of an odd number.
Is 55 an odd number?
The concepts "even" and "odd" apply to whole numbers. They don't make sense for other classes of numbers, such as rational numbers, real numbers, complex numbers, etc.
Do all odd numbers have other odd numbers as their factors?
Yes, the factors of all odd numbers are odd numbers.
