Question

meaning of the three consecutive even number is 6. The number are​

Answer 1

Correct Question :

• The Sum of three consecutive even number is 6. Then find the numbers.

Given :

• The Sum of three consecutive even number is 6.

To Find :

• The three consecutive even numbers

Solution :

Let,

• First even number = x
• Second even number = x + 2
• Third even number = x + 4

According to the Question :

⠀⟶⠀Sum of numbers = 6

⠀⟶⠀x + (x + 2) + (x + 4) = 6

⠀⟶⠀x + x + 2 + x + 4 = 6

⠀⟶⠀x + x + x + 2 + 4 = 6

⠀⟶⠀x + x + x + 6 = 6

⠀⟶⠀x + x + x = 6 - 6

⠀⟶⠀x + x + x = 0

⠀⟶⠀3x = 0

⠀⟶⠀x = 0/3

⠀⟶⠀x = 0

Therefore :

• First even number = x
• First even number = 0

• Second even number = x + 2
• Second even number = 0 + 2
• Second even number = 2

• Third even number = x + 4
• Third even number = 0 + 4
• Third even number = 4

Thus the three consecutive even numbers are 0 , 2 and 4

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Answer 2

Appropriate question:

• The sum of three consecutive even number is 6 . Find the numbers .

What to do ?

We need to assume the number to be x and as it's mentioned even so we will take second number as x+2 and third as x+4 . and if in the question it was mentioned to find three consecutive odd numbers then we would take first number as x + 1 and second as x + 3 and third number as x+5 but in question its mentioned about even so we will find that !!

S O L U T I O N :

$\small\bf\blue{assumption : }$

• The first number as x
• The second number as x+2
• The third number as x+4

Now,

$\Rightarrow\tt{x +(x + 2 )+ (x + 4) = 6}$

$\Rightarrow\tt{x + x + 2 + x + 4= 6}$

$\Rightarrow\tt{3x + 6= 6 }$

$\Rightarrow\tt{3x = 6 - 6}$

$\Rightarrow\tt{3x =0 }$

$\Rightarrow\tt{x = \frac{0}{3} }$

$\boxed{ \green{\tt{x = 0}}} \pink \star$

So ,

• First even number = x
• So it's 0

• Second even number = x+2
• So it's 0+2 = 2

• Third even number = x+4
• So it's 0+4 = 4

So , three consecutive even number are 0,2,4 !!

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