Answer

Verified

456k+ views

**Hint:**Here we can see that the integers are consecutive even integers and so the difference among them is of \[2\]. So, let the first number be a, and on the above-given basis, we form all the three terms and put it into the given condition and solve to get the required answer.

**Complete step by step answer:**

Let the first term of the series be a

And so the second term will be \[{\text{a + 2}}\]

And third term will be \[{\text{a + 4}}\]

Now, put it into the equation given as the sum of the first two integers is the same as the sum of the third integer and \[6\]

\[

{\text{a + (a + 2) = a + 4 + 6}} \\

\Rightarrow {\text{2a + 2 = a + 10}} \\

\Rightarrow {\text{a = 8}} \\

\]

Hence ,

\[

{\text{a = 8}} \\

{\text{a + 2 = 10}} \\

{\text{a + 4 = 12}} \\

\]

Therefore the three consecutive even integers are 8,10,12.

So

**option (c) is our correct answer.**

**Note:**An even number is an integer that can be divided by two and remain an integer or has no remainder. An integer that is not an even number is an odd number. On the other hand, an odd number, when divided by two, will result in a non-integer. Since even numbers are integers, negative numbers can be even.

Recently Updated Pages

what is the correct chronological order of the following class 10 social science CBSE

Which of the following was not the actual cause for class 10 social science CBSE

Which of the following statements is not correct A class 10 social science CBSE

Which of the following leaders was not present in the class 10 social science CBSE

Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE

Which one of the following places is not covered by class 10 social science CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference Between Plant Cell and Animal Cell

Why is there a time difference of about 5 hours between class 10 social science CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Draw a labelled sketch of the human eye class 12 physics CBSE