The sum of two consecutive odd numbers is 52. What are the two odd numbers?

explanation in detail needed!

# The sum of two consecutive odd numbers is 52. What are the two odd numbers?

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Youranswerishere:–First, an even number is a multiple of 2: 2, 4, 6, 8, and so on. It is conventional in algebra to represent an even number as 2n, where, by calling the variable ‘n,’ it is understood that n will take whole number values: n = 0, 1, 2, 3, 4, and so on.

An odd number is 1 more (or 1 less) than an even number. And so we represent an odd number as 2n + 1.

Let 2n + 1, then, be the first odd number. Then the next one will be 2 more — it will be 2n + 3. The problem states that their sum is 52:

2n + 1 + 2n + 3 = 52.

We will now solve that equation for n, and then replace the solution in 2n + 1 to find the first odd number. We have:

4n + 4 = 52

4n = 48

n = 12.

Therefore the first odd number is 2 · 12 + 1 = 25. And so the next one is 27. Their sum is 52.

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First, an even number is a multiple of 2: 2, 4, 6, 8, and so on. It is conventional in algebra to represent an even number as 2n, where, by calling the variable ‘n,’ it is understood that n will take whole number values: n = 0, 1, 2, 3, 4, and so on.An odd number is 1 more (or 1 less) than an even number. And so we represent an odd number as 2n + 1.Let 2n + 1, then, be the first odd number. Then the next one will be 2 more — it will be 2n + 3. The problem states that their sum is 52:2n + 1 + 2n + 3 = 52.We will now solve that equation for n, and then replace the solution in 2n + 1 to find the first odd number. We have:4n + 4 = 524n = 48n = 12.Therefore the first odd number is 2 · 12 + 1 = 25. And so the next one is 27. Their sum is 52.LearnMore:-●Numbers that follow each other continuously in the order from smallest to largest are called consecutive numbers. For example: 1, 2, 3, 4, 5, 6, and so on are consecutive numbers.●To find an even number, look at the ones digit, or the digit to the very right of the number. (the ones digit in 5382 would be 2.) If the ones digit is either 0, 2, 4, 6, or 8, then the number is even. If the ones digit is either1, 3, 5, 7, or 9, then the number is odd.