Math, asked by sk87050, 2 months ago

if sum of three consutive number is 66. find the number​

Answers

Answered by Bidikha
6

Answer:

Let, the three numbers be 'x' 'x+1' and 'x+2'

B/Q

x+x+1+x+2= 66

3x+3=66

3x=66-3

3x = 63

x=63/3

x=21

Therefore the numbers are 21 , 22 and 23

Answered by Bᴇʏᴏɴᴅᴇʀ
61

Answer:-

\pink{\bigstar} The numbers are

\large\leadsto\boxed{\tt\purple{21}}

\large\leadsto\boxed{\tt\purple{22}}

\large\leadsto\boxed{\tt\purple{23}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Given:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

  • Sum of three consecutive numbers is 66.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

To Find:-

  • The numbers = ?

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Solution:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Let the three consecutive numbers be 'x' , 'x+1' and 'x+2' respectively.

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

According to the question:-

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf x + (x + 1) + (x + 2) = 66

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf x + x + 1 + x + 2 = 66

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf 3x + 3 = 66

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf 3x = 66 - 3

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf 3x = 63

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\sf x = \dfrac{63}{3}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

\large{\bf\red{x = 21}}

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Hence, the numbers are

  • x = 21

  • x + 1 = 21 + 1 = 22

  • x+2 = 21 + 2 = 23

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Therefore, the three consecutive numbers are 21, 22 and 23 respectively.

Similar questions