Question

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Que:- tha sum of three consecutive even number is 276 . find tha number

Answer 1

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⏩QUESTION :- The sum of three consecutive even number is 276. find tha number

⏩Solutions:-

⏩let the 3 consecutive even numbers be x, x +2 , x +4,

⏩There sum is 276

⏩x + x+2+x+4 = 276

⏩3x = 270

⏩x = 90

⏩Numbers are x = 90

⏩Numbers are x+2=90+2=92

⏩Numbers are x+4=90+4=94

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Answer 2

$\underline{\underline{\bold{Answer}}}$

1st number = 90

2nd number = 92

3rd number = 94

$\huge\bold{Explanation}$

$\sf{We\:know\:that}$

Let the 1st number be x.

2nd number = x + 2

3rd number = x + 4

$\sf{According\:to\:the\:question}$

$\bold{Given}$

The sum of three consecutive even number = 276.

$\sf{So}$

$\implies{x + x + 2 + x + 4 = 276}$

Solve the Left hand side...

$\implies{3x + 6 = 276}$

Shift 6 to Right hand side...

$\implies{3x = 276 - 6}$

Solve Right hand side....

$\implies{3x = 270}$

Shift 3 to Right hand side....

$\implies{x = \dfrac{270}{3}}$

After cancelling

$\implies{x = 90}$

To find the value of numbers, put the value of x in the equations....

1st number = x = 90.

2nd number = x + 2 = 90 + 2 = 92.

3rd number = x + 4 = 90 + 4 = 94.

$\huge{De}\huge{fine}$

After hearing the word " consecutive number " , the first question comes in our mind is that what is consecutive number ?

So , here's the define of consecutive number.

The numbers which appear one after another is basically termed as consecutive numbers.

For example- x , x + 1 , x + 2....if the value of x is 2 then the consecutive numbers are 2 , 3 , 4.