Question

the sum of three consecutive odd number is 21 find the numbers

Answer 1

Let the three consecutive odd numbers be x,x+1,x+2

So it is given that their sum is equal to 21

So,

x+x+1+x+2=21

3x+3=21

3x=18

x=6

So the numbers are

x=6

x+1=7

x+2=8

Answer 2

Solution :-

Let the first odd number be $\bold{x}$

Let the second odd number be $\bold{x + 2}$

Let the third odd number be $\bold{x + 4}$

ATQ,

$\bold{x + x + 2 + x + 4 = 21}$

$\bold{ => 3x + 6 = 21}$

$\bold{ => 3x = 21 - 6}$

$\bold{ => 3x = 15}$

$\bold{ => x = \cancel{ \dfrac{15}{3} }}$

$\bold{ => x = 5}$

$\therefore$ First number is 5, second number is 5 + 2 = 7, third number is 5 + 4 = 9.

Hence, three odd consecutive numbers are :

$\Huge\pink{\bf{\fbox{5, 7 \: and \: 9}}}$