Math, asked by harshubhat7205, 6 months ago

The sum of three consecutive even numbers is 54. Find the even numbers

Answers

Answered by snehitha2
15

Answer :

16,18,20

Step-by-step explanation :

Let the first consecutive even number be x

     the second consecutive even number be (x+2)

     the third consecutive even number be (x+4)

The sum of three consecutive even numbers is 54

x + (x+2) + (x+4) = 54

x + x + 2 + x + 4 = 54

3x + 6 = 54

3x = 54 - 6

3x = 48

x = 48/3

x = 16

The first consecutive even number = 16

The second consecutive even number = 16+2 = 18

The third consecutive even number  = 16+4 = 20

Answered by Anonymous
11

Refer the above attachment hope u helpful

Step-by-step-explanation:-

Given :-

Sum of three consecutive even numbers is 54

To find :-

Three even numbers

Consideration:-

Let the consecutive even numbers be

  • x
  • x + 2
  • x + 4

Solution:-

So,

Sum is 54

x + x + 2 + x + 4 = 54

3x + 6 = 54

3x = 54 - 6

3x = 48

x = 16

Finding Numbers

x = 16

x +2 =

16 +2 = 18

x + 2 = 18

x + 4 =

16 + 4 = 20

x + 4 = 20

So, Required numbers are

  • 16
  • 18
  • 20

Verification:-

We got three numbers their sum should be equal to 54

16 + 18 + 20 =54

54 = 54

Verified

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