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

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181 and 182

182 and 183

184 and 185

189 and 190

answer is B.

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Detailed Solution

Given, the sum of two consecutive positive integers is 365.
Let the first positive be x and the second positive integer will be x+1
According to the question,
(x)+(x+1) = 365
Or, 2x+1 = 365
Or, 2x = 364
Or, x=182
Or, (x)+(x+1)=365
Or, 2x+1=365
Or, 2x = 364
Or, x = 182
The number is x i.e., 182 and x+1 i.e., 183
Therefore, two consecutive numbers are 182 and 183.

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