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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