Math, asked by naren0001, 4 months ago

sum of 3 consecutive ineteger is 24 find the integer​

Answers

Answered by elbel6747
0

Answer:

7,8,9

Step-by-step explanation:

x+(x+1)+(x+2)=24

3x+3=24

3x=24-3

3x=21

x=7

(x+1)=8

(x+2)=9

Answered by PanchalKanchan
12

Question :

sum of 3 consecutive integer is 24 find the integers .

Answer :

\sf\pink{Given:}

  • sum of 3 consecutive integers is 24 .

\sf\pink{To\:find:}

  • The integers ?

Explanation :

  • let the three integers be "x" , "x + 1" , "x + 1 + 1"

Reason :

They are consecutive therefore one will be added every time

\longrightarrow\sf{ x + x + 1 + x + 1 + 1 = 24}

\longrightarrow\sf{ x + x + x + 1 + 1 + 1 = 24}

\longrightarrow\sf{ 3x + 3 = 24}

\longrightarrow\sf{ 3x  = 24 - 3}

\longrightarrow\sf{ 3x  = 21}

\longrightarrow\sf{ x  = \dfrac{21}{3}}

\longrightarrow\sf{ x  = 7}

  • Therefore the integers are :

\longrightarrow\sf{ x  = 7}

First integer is 7 .

\longrightarrow\sf{ x  + 1  = 7 + 1}

\longrightarrow\sf{ 8}

Second integer is 8.

\longrightarrow\sf{ x  + 1  + 1 = 7 + 1 + 1}

\longrightarrow\sf{ 9}

Third integer is 9 .

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