Can you add 5 odd numbers to get 30?

It is 7,9 + 9,1 + 1 + 3 + 9 = 30Wish you can find the 7,9 and 9,1 in the list of1,3,5, 7,9 ,11,13,151,3,5,7, 9,1 1,13,15

Mathematical Puzzles: What is () + () + () = 30 using 1,3,5,7,9,11,13,15?

My question had been merged with another one and as a result, I have added the previous answer to the present one. Hopefully this provides a clearer explanation. Just using the numbers given there, it's not possible, because odd + odd = even, even + odd = odd. 30 is an even number, the answer of 3 odd numbers must be odd, it's a contradiction. If what people say is true, then the question is wrongly phrased its any number of operations within those three brackets must lead to 30. Then it becomes a lot easier. Such as 15 + 7 + (7 + 1). That would give 30. But it assumes something that the question does not state explicitly and cannot be done that way. I still stick to my first point, it can't be done within the realm of math and just using three numbers, if not, then the latter is a way to solve it.EDIT: This question has come up many times, Any odd number can be expressed as the following, Let [math]n, m, p[/math] be an odd number, [math] n = 1 (mod[/math] [math]2), m = 1 (mod[/math] [math]2), p = 1 (mod[/math] [math]2)[/math][math]n+m+p = 1 + 1 + 1 (mod[/math] [math]2)[/math]Let's call [math]n+m+p[/math] as [math]x[/math][math]=> x = 3 (mod[/math] [math]2)[/math]Numbers in modulo n can be added, I'll write a small proof for it below, [math]a = b (mod[/math] [math]n), c = d (mod[/math] [math]n)[/math][math]a+c = b+d (mod[/math] [math]n)[/math]We can rewrite [math]b[/math] and [math]d[/math] in the following way, [math]n | (b - a) => b-a = n*p[/math] (for some integer p) [math]b = a + np[/math][math]b = a + np, d = c + nq[/math][math]b + d = a + np + c + nq[/math][math]b+d = a + c + n(p + q)[/math]Now we have shown that our result is true, moving forward, [math]3 = 1 (mod[/math] [math]2)[/math][math]x = 1 (mod[/math] [math]2)[/math]Therefore the sum of three odd numbers can never be even. It will always be congruent to 1 in mod 2.(This was what I wrote for a merged answer).Modular arithmetic - Link on modular arithmetic, the basic operations. Modular multiplicative inverse - The multiplicative inverse in modular operations.Congruence relationFermat's little theorem Modular exponentiation - As title suggests.Good luck!

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Form PT 351 1 May Fuel Consumed in New York State by Tax Ny

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Form PT 351 1 May Fuel Consumed in New York State by Tax Ny

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New York State has specific rules governing the use of the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny. These include deadlines for submission, requirements for reporting fuel types, and guidelines for record-keeping. It is important to stay informed about any changes in state regulations that may affect how this form is completed and submitted. Compliance with these rules helps avoid penalties and ensures accurate tax reporting.

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Form PT 351 1 May Fuel Consumed in New York State by Tax Ny

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What is the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

How to use the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

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Legal use of the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

State-specific rules for the Form PT 351 1 May Fuel Consumed In New York State By Tax Ny

Filing Deadlines / Important Dates

Quick guide on how to complete form pt 3511 may 2005 fuel consumed in new york state by tax ny

Effortlessly Prepare Form PT 351 1 May Fuel Consumed In New York State By Tax Ny on Any Device

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