Math, asked by coynseller, 5 months ago

sum of three consecutive integers is 18 find the numbers ​

Answers

Answered by annuverma11
1

Step-by-step explanation:

let's three consecutive integers = x, x+1 and x+2

according to question,

x+(x+1)+(x+2) = 18

3x+3 = 18

so, x = 5

hence, 1st integer = 5

2nd integer = x+1 = 6

3rd integer = x+2 = 7 answer

Answered by Anonymous
2

Given:

  • Sum of three consecutive integers is 18.

To find:

  • Required numbers ?

⠀⠀⠀⠀⠀⠀⠀

Solution:

☯ Let the three consecutive integers be x, x + 1, x + 2. ⠀

\underline{\bigstar\:{\frak{According\:to\:the\:question\::}}}\\ \\

:\implies\sf x + x + 1 + x + 2 = 18 \\ \\

:\implies\sf 3x + 3 = 18 \\ \\

:\implies\sf 3x = 18 - 3\\ \\

:\implies\sf 3x = 15\\ \\

:\implies\sf x = \cancel{\dfrac{15}{3}} \\ \\

:\implies{\boxed{\frak{\pink{x = 5}}}}\;\bigstar\\ \\

⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━━━

Therefore, The three consecutive numbers are :

  • x = 5
  • x + 1 = 5 + 1 = 6
  • x + 2 = 5 + 2 = 7

\therefore\;{\underline{\sf{The \:three\:consecutive \:numbers\;are\; \bf{5,\:6,\;\sf{and}\;\bf{7}\:}.}}}

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