Math, asked by amreenjabeen03, 6 months ago

sum of three consecutive integers is 24 .find the integers​

Answers

Answered by sanjiv39
1

Step-by-step explanation:

Let the 1st integer be x

the 2nd integer be x + 1

the 3rd integer be x + 2

A/Q,

x + x + 1 + x + 2 = 24

3x + 3 = 24

3x = 24 - 3

3x = 21

x = 21 ÷ 3

= 7

THEREFORE , INTEGERS = 7, 7+1 = 8 , 7 + 2 = 9

Answered by dibyangshughosh309
25

 \huge{ \underline{ \underline{ \mathfrak{ \color{magenta}{question}}}}}

sum of three consecutive integers is 24. Find the integers?

 \huge{ \red{ \underline{ \underline{ \mathfrak{ \color{orange}{answer}}}}}}

 \tt \blue{integers = 8}

\huge{ \color{aqua}{ \underbrace{ \underline{ \color{lime}{ \mathbb{✯꧁᭄⋆SoLuTiOn⋆᭄꧂✯ }}}}}}

 \tt{let \: the \: integers \: be \: x}

 \tt{ sum =24 \} \: given}

 \tt{ \to \: x + x + x = 24}

 \tt{  \to3x = 24}

 \tt{ \to \: x =  \frac{ \cancel{24} ^{8}} { \cancel{3} ^{1} } }

 \tt{ \to \: x = 8}

 \tt \red{ \therefore \: integers = 8}

 \huge{ \underbrace{ \green{ \mathfrak{verification}}}}

 \tt{ \to \: x + x + x = 24}

 \tt{if \: x = 8}

 \tt{ \to8 + 8 + 8 = 24 }

 \tt{ \to24 = 24}

  \bold{\boxed{ \mathfrak{ \red{verified}}}}

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