Math, asked by merinathoudam55, 1 month ago

Three consecutive integers add up to 51.If they differ by 18,what are the numbers?​

Answers

Answered by anurag6434
1

Answer:

Let the numbers be x, x1, x2

Step-by-step explanation:

Therefore x+x1+x2=51

Thus the integers are 16,17 and 18.

As 16+17+18=51.

Answered by ғɪɴɴвαłσℜ
3

\sf{\huge{\underline{\green{Given :-}}}}

  • Three consecutive integers add up to 51.If they differ by 18 .

\sf{\huge{\underline{\green{To\:Find :-}}}}

  • The numbers.

\sf{\huge{\underline{\green{Answer :-}}}}

Let the three consecutive integers be ,

  • First = x

  • Second = ( x + 1 )

  • Third = ( x + 2 )

They differ by 18 ,

  • First = x - 18

  • Second = ( x + 1 ) = x - 18 + 1 = x - 17

  • Third = ( x + 2 ) = x - 18 + 2 = x - 16

x - 18 + x - 17 + x - 16 = 51

➝ 3x - 51 = 51

➝ 3x = 51 + 51

➝ 3x = 51 + 51

➝ 3x = 102

➝ x = 102 / 3

x = 34

The three consecutive integers are ,

  • First = x = 34

  • Second = ( x + 1 ) = 35

  • Third = ( x + 2 ) = 37

_____________________________________

Similar questions