Question

Find three consecutive odd integers whose sum is 495.

Answer 1

The three consecutive odd numbers 163, 165, and 167 add up to 495.

What are consecutive numbers?

The term "consecutive number" refers to integers that are listed in a regular counting pattern. When listing consecutive integers in a sequence, there are no numbers omitted, hence the difference between them is always constant. Each succeeding integer has a difference of 1, which can be expressed as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

What are consecutive odd numbers?

Consecutive odd numbers are odd integers that follow one another and are separated by 2 between them. The integers x + 2, x + 4, and x + 6 are also odd if the number x is odd.

Calculation:

To find the number, we will take an odd number, x, write its subsequent consecutive numbers, add them all up, and then equate them to 495. Then, the x equation is solved.

It has been stated that 495 is equivalent to the sum of three consecutive odd numbers.

Let x be the first odd number in a row.

The following phrase is thus x + 2 + 2 = x + 4, and the following sequence of odd integers becomes x + 2 after that.

The total of these three irregularly spaced-apart terms is now x + x + 2 + x + 4 = 3x + 6.

As stated in the statement,

3x + 6 = 495

3x=489

x=163

⇒ Consequently, 163, 165, and 167 are the three consecutive odd numbers whose sum is 495.

Learn more about consecutive numbers here :

brainly.com/question/2493629

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Answer 2

The three consecutive odd integers whose sum is 495 are 163, 165, and 167.

What are consecutive numbers?

⇒ Integers that are listed in a consistent counting pattern are referred to as consecutive integers. There are no numbers missed while listing consecutive integers in a sequence, so the difference between them is always fixed. The difference between each subsequent integer is 1, for instance, can be written as -4, -3, -2, -1, 0, 1, 2, 3, and so on.

What are consecutive odd integers?

⇒ Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.

Calculation:

We are going to take an odd number, x, write its subsequent consecutive numbers, add all of them together, then equate them to  495 to find the number. The equation for x is then resolved.

We have been given that the sum of 3 consecutive odd numbers is equal to 495.

Let the first consecutive odd integer is x.

⇒ Then the next consecutive odd integers becomes x + 2 and the next term becomes x + 2 + 2 = x + 4.

Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.

According to the given,

3x + 6 = 495

3x=489

x=163

⇒ Hence, the three consecutive odd integers whose sum is 495 are 163, 165, and 167.

Learn more about consecutive numbers here: brainly.com/question/10853762

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