Math, asked by gayatrideshmukh8753, 11 months ago

Three consecutive natural numbers have a sum of 30. What is the least number?


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Answers

Answered by saisujitp
0

Answer:

9

Step-by-step explanation:

x+(x+1)+(x+2)=30

3x+3=30

3x=27

x=9

9,10,11

Answered by BloomingBud
5

Given:

  • The sum of three consecutive natural numbers is 30.

To find:

  • The least number.

Let the number be (x), (x+1), (x+2)

Now,

According to the question,

Their sum is 30

The equation formed is

⇒ x + x + 1 + x + 2 = 30

⇒ 3x + 3 = 30

⇒ 3x = 30 - 3

[By transporting 3 to RHS]

⇒ 3x = 27

⇒ x = 27 ÷ 3

[By transporting 3 to RHS]

⇒ x = 9

Hence, the three consecutive number are

  • x = 9
  • (x+1) =  9 + 1 = 10
  • (x+2) = 9 + 2 = 11

Thus,

The least number is 9.

-

Verification:

The sum of the three consecutive number should be 30.

(9 + 10) + 11

= 19 + 11

= 30

Hence, verified.

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