Math, asked by Myboy, 11 months ago

The sum of two even consecutive integers is 46 find the intergers

Answers

Answered by Sauron
7

\mathfrak{\large{\underline{\underline{Answer :- }}}}

One number is 22 and second number is 24.

\mathfrak{\large{\underline{\underline{Explanation :-}}}}

\textbf{Given : }

The numbers are even and consecutive

Sum is 46

\textbf{To find :}

The numbers

\textbf{Solution :}

Consider one number as x

Consider the second number as x + 2

Equation :

\boxed{\tt{x + (x + 2) = 46}}

\tt{\implies} \: x + x + 2 = 46

\tt{\implies} \: 2x + 2 = 46

\tt{\implies} \: 2x = 46 - 2

\tt{\implies} \: 2x = 44

\tt{\implies} \: x =  \dfrac{44}{2}

\tt{\implies} \: x = 22

One number = 22

Value of x + 2

\tt{\implies} \: 22 + 4

\tt{\implies} \: 24

\therefore One number is 22 and second number is 24.

\mathfrak{\large{\underline{\underline{Verification :-}}}}

\tt{\implies} \: 22 + 24

\tt{\implies} \: 46

\therefore One number is 22 and second number is 24.


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Answered by Anonymous
5

Answer:

First number = 22

Second number = 24

Step-by-step explanation:

Let the first number = x

Let the second number = x + 2

According to the question ,

The sum of two even consecutive ingers = 46.

so,

x +  x + 2  = 46

2x + 2 = 46

2x = 46 - 2

2x = 44

x = 44 / 2

x = 22

∴ FIRST NUMBER = X

                              = 22

  SECOND NUMBER = X + 2

                                   = 22 + 2

                                   = 24.

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