Math, asked by Gefensamuel8228, 8 months ago

The sum of three consecutive natural number is 36.what are the numbers

Answers

Answered by BrainlyTornado
28

ANSWER:

The three consecutive natural numbers are 11, 12 and 13.

GIVEN:

Sum of three consecutive natural number is 36.

TO FIND:

The three consecutive natural numbers.

ASSUMPTION:

Let the numbers be x, x + 1, x + 2.

EXPLANATION:

x + x + 1 + x + 2 = 36

3x + 3 = 36

3x = 33

x = 11

x + 1 = 11 + 1 = 12

x + 2 = 11 + 2 = 13

THE NUMBERS ARE 11, 12, 13

VERIFICATION:

x + x + 1 + x + 2 = 36

11 + 12 + 13 = 36

36 = 36

HENCE VERIFIED.

Answered by Anonymous
7

✴️ ANSWER ✴️

Let the smaller consecutive natural number be x. Thus, other consecutive natural numbers are x + 1 and x + 2

As per statement sum of three consecutive natural numbers is 36. As such

x + x + 1 + x + 2 = 36

3x + 3 = 36

3x = 36 - 3

3x = 33

x = 33 / 3

x = 11

Thus the smaller consecutive natural number is 11, the other consecutive natural numbers are 11 + 1 = 12 and 11 + 2=13

Answer the three consecutive natural numbers are 11, 12 and 13

Let us check the correctness of answer by taking sum of derived numbers, which should be 36

11 + 12 + 13 = 36

36 = 36

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