Math, asked by salmasajina12345, 7 months ago

The sum of 3 consecutive natural number is 36.what are the number?​

Answers

Answered by Anonymous
1

let the numbers be x , x+1 and x+2

as per the question

 =  > x + x + 1 + x + 2 = 36 \\ =  > 3x + 3 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 36 \\  =  > x  + 1  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 12 \\  =  > x  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 11

the 3 numbers are 11 , 12 , and 13

Answered by Sauron
7

Answer:

The consecutive natural numbers are 11, 12, 13

Step-by-step explanation:

Let,

The consecutive natural numbers are :

  • x
  • x + 1
  • x + 2

According to the question :

⇒ x + (x + 1) + (x + 2) = 36

⇒ 3x + 3 = 36

⇒ 3x = 36 - 3

⇒ 3x = 33

⇒ x = 33 / 3

x = 11

x + 1 :

⇒ 11 + 1

12

x + 2 :

⇒ 11 + 2

13

Therefore,

The consecutive natural numbers are 11, 12, 13

Verification:

⇒ 11 + 12 + 13

36

Total sum of 3 consecutive number is

Total sum of 3 consecutive number is 36

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