Math, asked by arjunjsobha, 9 months ago

The sum of 3 consecutive odd number is 33 what are the numbers

Answers

Answered by Anonymous
54

Question :-

The sum of 3 consecutive odd number is 33. What are the numbers ?

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Given :-

• Sum of 3 consecutive odd numbers is 33.

To Find :-

• Those numbers.

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Solution :-

• Let first consecutive odd number be x

Second consecutive odd number = x + 2

• Third consecutive odd number = x + 4

According to question :-

x + (x + 2) + (x + 4) = 33

 =  > 3x + 6 = 33

 =  > 3x = 33 - 6

 =  > 3x = 27

 =  > x =  \frac{27}{3}

 =  > x = 9

 =  > x + 2 = 9 + 2 = 11

 =  > x + 4 = 9 + 4 = 13

Hence, the numbers are 9, 11 and 13.

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Answered by Anonymous
8

AnSwEr :

{\red\bigstar\Large\bold{\underline{\textsf{\green{Given:}}}}}

• Sum of 3 consecutive odd number is 33 .

{\red\bigstar\Large\bold{\underline{\textsf{\green{To\:Find}}}}}

The Numbers

{\red\bigstar\Large\bold{\underline{\textsf{\green{Solution:}}}}}

Let the first number be x

And the second number be x + 2

And the third number be x + 4

Now , Sum = 33

\sf x\:+\:x\:+\:2\:+\:x\:+\:4\:=\:33

\sf 3x\:+\:6\:=\:33

\sf 3x\:=\:33\:-\:6

\sf 3x\:=\:27

\sf x\:=\: \dfrac{27}{3}

\large\bold{\underline{\textsf{\pink{x\:=\:9}}}}

NUMBERS ARE -

• First number = x = 9

• Second number = x + 2 = 9 + 2 = 11

• Thirde number = x + 4 = 9 + 4 = 13

\Large\bold{\boxed{\textsf{\red{Numbers\:are\:9, 11\:and\:13}}}}

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