Question

the sum of three consecutive odd numbers is 21 find the number
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Answer 1

Let the three consecutive odd number be x,x + 2,x + 4. Given that the sum of 3 consecutive odd numbers is 21. x = 5.

Answer 2

Correct Question-:

• The sum of three consecutive odd numbers is 21 . Find the number ?

AnswEr-:

• The three consecutive odd integers are 5 , 7 and 9 .

EXPLANATION-:

$\frak{Given \:\: -:} \begin{cases} \sf{The\: sum \: of \ three \ consecutive \ odd \ number \ is\:=\:\frak{21}}\end{cases}$

$\frak{To \ Find \:\: -:} \begin{cases} \sf{The\: numbers\ .\:}\end{cases}$

Now ,

• Let the first number be x .
• Then ,
• The second number = x + 2
• Then ,
• The third number is = x + 2 +2

Now ,

• The sum of three consecutive odd number is 21 .
• Then ,
• $\implies{\sf{\large {x+x+2+x+2+2=21}}}$
• Now ,

Then ,

• Solving for x .
• $\implies{\sf{\large {x+x+2+x+2+2=21}}}$
• $\implies{\sf{\large {x+x+x+2+2+2=21}}}$
• $\implies{\sf{\large {3x+2+2+2=21}}}$
• $\implies{\sf{\large {3x+6=21}}}$
• $\implies{\sf{\large {3x=21-6}}}$
• $\implies{\sf{\large {3x=15}}}$
• $\implies{\sf{\large {x=\frac{15}{3}}}}$
• $\implies{\sf{\large {x=5}}}$

Now ,

• $\underline{\boxed{\star{\sf{\blue{ X = 5 }}}}}$

Now ,

• $\frak{Putting \:x=5\:\: -:} \begin{cases} \sf{First\: number\: = \: x = \: 5} & \\\\\sf{ Second \: Number \:=\: x +2 = \: 5 +2 }& \\\\\sf{Third\:number \:= x +2+2 = 5+2+2 = 9}\end{cases}$

Hence ,

• The three consecutive odd integers are 5 , 7 and 9 .

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