Find two consecutive positive integers, where the sum of numbers is equal to 365.

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182 and 183

181 and 182

183 and 184

180 and 182

answer is A.

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Detailed Solution

Concept- Consider the two consecutive numbers as

and

. Then, form an equation according to the question and solve it.
Here, the sum of two consecutive positive integers is 365.
Let the first positive be

and the second positive integer will be

When adding terms,

When solving this equation, we will get

Therefore, the two consecutive numbers are

.
Hence, the correct answer is option 1) 182 and 183.

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