Question

sum of three consecutive numbers is 270.find the numbers

Answer 1

$\huge{\red{\mathfrak{\underline{\underline{AnSwEr}}}}}$

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

According to question

Sum of numbers = 270

(x) + (x+1) + (x+2) = 270

3x +3 = 270

3x = 267

x = 89

First number = x = 89

Second number = x+1 = 90

Third number = x+2 = 91

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Answer 2

$\large{\green{\bold{\underline{Let:}}}}$

$\sf \: The \: three \: numbers \: be \: x, \: x+1, \: x+2$

$\large{\red{\bold{\underline{Then:}}}}$

$\large{\orange{\bold{\underline{According \: To \: Question:}}}}$

$\rightarrow \sf \: x + (x+1) + (x+2) = 270 \\ \\ \rightarrow \sf \: x + x+1 + x+2 = 270 \\ \\ \rightarrow \sf \: 3x + 3 = 270 \\ \\ \rightarrow \sf \: 3x = 270 - 3 \\ \\ \rightarrow \sf \: 3x = 267 \\ \\ \rightarrow \sf \: x = \frac{ \cancel267}{ \cancel3} \\ \\ \rightarrow \sf \: x = 89$

$\large{\red{\bold{\underline{Then:}}}}$

$\sf \: Numbers \: are \: 89, \: 89+1, \: 89+2.$

$\large{\blue{\bold{\underline{Finally:}}}}$

$\sf \: Three \: consecutive \: numbers \: are \: 89, \: 90 \: and \: 91.$