Question

The sum of two consecutive odd numbers is 52. Find both odd numbers

Answer 1

What are consecutive odd numbers?

➾ Consecutive odd numbers are those odd numbers which follow one another constantly. Like for example, 1, 3, 5, 7, 9, 11....... follow each other constantly.


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Coming to your question,


Let the 1st consecutive odd number be x

Let the 2nd consecutive odd number be x + 2

Given, sum of two consecutive odd numbers is. 52


According to the question,

x + x + 2 = 52

➾ 2x + 2 = 52

➾ 2x = 52 - 2

➾ 2x = 50

➾ x = 25



1st odd number ➾ x

➾ $\boxed{\boxed{\boxed{\boxed{\boxed{25}}}}}$


2nd number ➾ x + 2

➾ 25 + 2

➾ $\boxed{\boxed{\boxed{\boxed{\boxed{27}}}}}$


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Hope it helps.

Answer 2

Answer:

The odd numbers are 25 and 27.

Step-by-step explanation:

• Odd number: The numbers which can not be divided by 2 are called odd number.

        Example - 1,3, 5, 7, 9, 11, 13, ......etc.

• Lets assume one of the required odd number is 'x'.

        As the difference between two odd numbers is 2. So another odd number will be (x + 2).

• The sum of the two add numbers is 52.

           So, x + (x + 2) = 52

                 x + x + 2 = 52

                 2x + 2 = 52

                 2x = 52 -2 = 50

                 x = 50/2 = 25

     ∴One odd number is 25 and another odd number will be = 25 + 2 = 27.

• If we add the odd numbers, 25 + 27 = 52