Question

What are those two numbers whose sum is so alla
The sum of two consecutive odd numbers is 56. Find the numbers.​

Answer 1

Answer:

• First number = 27
• Second number = 29

Step-by-step explanation:

Given:

• Sum of two consecutive odd numbers = 56

To find:

• The numbers.

Solution:

Let the first odd number be x and second odd number be x+2.

This is so, because consecutive odd numbers differ by 2.

Ex: Let's take the numbers 1 and 3. These two numbers are consecutive odd numbers which differ by 2.

Now, According to the question,

$\longrightarrow$ x+x+2 = 56

$\longrightarrow$ 2x+2 = 56

$\longrightarrow$ 2x = 56-2

$\longrightarrow$ 2x = 54

$\longrightarrow\sf{x = \dfrac{54}{2}}$

$\longrightarrow$ x = 27

Hence,

• First number = x = 27
• Second number = x+2 = 27+2 = 29