Math, asked by rakhidhankhar007, 4 hours ago

3. (1)
(ii) Find three consecutive odd numbers whose sum is 93.
(iii) Find three consecutive even numbers whose sum is 246.
-17​

Answers

Answered by Anonymous
56

Step-by-step explanation:

1.

Given:

The sum of three consecutive odd numbers is 93

To Find:

The three consecutive odd numbers

Solution:

Let the three odd consecutive numbers be x , x+2 and x+4

Now given is the sum of x , x+2 and x+4 is 93. So, x , x+2 and x+4 is equal to 93.

ACQ,

x+x+2+x+4=93

3x+6=93

3x=93-6

3x=87

x=29

1 st number=29

2nd number=x+2=29+2=31

3rd number=x+4=29+4=33

So, three consecutive odd numbers=29,31 and 33

2.

Given:

The sum of three consecutive even number

To Find:

The three consecutive even numbers

Solution:

Let the three consecutive even numbers be x,x+2,x+4

Given is that the sum of x,x+2,x+4 is 246. So, x,x+2,x+4 is equal to x,x+2,x+4.

ACQ

x,x+2,x+4=246

3x+6=246

3x=246-6=240

3x=240

x=80

1st number=x=80

2nd number = x+2=80+2=82

3rd number = x+4=80+4=84

So the three consecutive even numbers=80,82,84

Answered by TheBrainliestUser
47

Question:

  • Find three consecutive odd numbers whose sum is 93.

Given that:

  • Sum of three consecutive odd numbers is 93.

Let us assume:

  • Three consecutive odd numbers be (2x + 1), (2x + 3) and (2x + 5).

According to the question.

↣ (2x + 1) + (2x + 3) + (2x + 5) = 93

↣ 2x + 1 + 2x + 3 + 2x + 5 = 93

↣ 6x + 9 = 93

↣ 6x = 93 - 9

↣ 6x = 84

↣ 3(2x) = 84

↣ 2x = 84/3

↣ 2x = 28

Three consecutive odd numbers:

  1. 2x + 1 = 28 + 1 = 29
  2. 2x + 3 = 28 + 3 = 31
  3. 2x + 5 = 28 + 5 = 33

Hence,

  • Three consecutive odd numbers are 29, 31 and 33.

Question:

  • Find three consecutive even numbers whose sum is 246.

Given that:

  • Sum of three consecutive even numbers is 246.

Let us assume:

  • Three consecutive even numbers be 2x, (2x + 2) and (2x + 4).

According to the question.

↠ 2x + (2x + 2) + (2x + 4) = 246

↠ 2x + 2x + 2 + 2x + 4 = 246

↠ 6x + 6 = 246

↠ 6x = 246 - 6

↠ 6x = 240

↠ 3(2x) = 240

↠ 2x = 240/3

↠ 2x = 80

Three consecutive even numbers:

  1. 2x = 80
  2. 2x + 2 = 80 + 2 = 82
  3. 2x + 4 = 80 + 4 = 84

Hence,

  • Three consecutive even numbers are 80, 82 and 84.
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