Question

The sum of two consecutive odd numbers is 56. Find the numbers. ​

Answer 1

Answer:

Let the smaller odd number be x ,then the next consecutive odd number will be x+2

(Consecutive odd numbers differ by 2)

Then according to the question,

x+x+2=56

2x=56−2=54

x=27

x+2=29

The numbers are 27 and 2

Step-by-step explanation:

Answer 2

To find : odd numbers .

Given : The sum of two consecutive odd numbers is $56$ .  

Solution :

• As per given data we know that the sum of two consecutive odd numbers is $56$ .  
• We know that odd numbers differ by $2$ .
• Let , $x$ be the smaller odd number and $x +2$ be the larger odd number.
• According to given condition we write as , $x + x +2 = 56$ .
• Using transposition we find the value of $x$ , by transposing constants at RHS and leaving variables at LHS .

• $x + x +2 = 56$  

       $2x = 56 -2 \\2x = 54 \\x = 27$

• Now , numbers are :

      Smaller odd number = $x = 27$

      larger odd number = $x + 2 = 27 + 2 = 29$  

Hence , odd numbers are $27$ and $29$ .