Question

the sum of consecutive odd number is 21 find the number

Answer 1

Question => The sum of three consecutive odd numbers is 21. Find the number.



$\huge \star \purple {Answer :-} \star$

Let the three consecutive odd numbers be x, x + 2 and x + 4

Given, their sum = 21

According to the question,

x + x + 2 + x + 4 = 21

3x + 6 = 21

3x = 21 - 6

3x = 15

x = $\dfrac{15}{3}$

x = 5


First odd number => x

=> 5

Second odd number => x + 2

=> 5 + 2

=> 7

Third odd number => x + 4

=> 5 + 4

=> 9




$\therefore{}$ The three consecutive odd numbers are 5, 7 and 9 respectively.

Answer 2

Solutions :-


Given :

The sum of consecutive odd number = 21

Let the three consecutive odd number be x, x + 2 and x + 4 respectively.


A/q

=> x + x + 2 + x + 4 = 21
=> 3x + 6 = 21
=> 3x = 21 - 6
=> 3x = 15
=> x = 15/3 = 5


Therefore,
First number = x = 5
Second number = x + 2 = 5 + 2 = 7
Third number = x + 4 = 5 + 4 = 9


Hence,
The three consecutive odd number are 5, 7 and 9 respectively.