If the sum of two consecutive odd numbers is 312, find the numbers.

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155 and 157

155 and 156

156 and 157

154 and 153

answer is A.

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Detailed Solution

Concept- Odd numbers are ones that cannot be entirely divided by two. We will answer this problem by creating an equation using a variable x.
Given that the sum of two consecutive odd integers is 312 in the question, we may construct the equation as follows:

Solve above equation we get:

…….(1)
By adding the coefficient

into the LHS side of equation (1) , we get:

By bringing 2 into the RHS side of the equation

, and subtracting it from 312 :

By bringing 2 into the RHS side of the equation

and dividing it by 310 , we get:

So, the second consecutive odd number will be equals to

, by substituting the value of

in it, we get:

The two consecutive odd numbers are 155 and 157 .
Hence, the correct option is 1.

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