Question

Find three consecutive odd numbers such that 5
times the middle number is greater than the sum
of the first and last numbers by 495.
please explain it step by step​

Answer 1

Explanation:

Your Answer:

The numbers are 163, 165 and 167

Given:-

Three consecutive odd numbers.

5 times the middle number is greater than the sum of the first and the last numbers by 495.

To Find:-

The consecutive numbers

Solution:-

Let the numbers be (n-2), n and (n+2).

The numbers are taken by the difference of 2 because the difference between two odd numbers is 2

ATQ,

So, solving the equations further

So, We get n = 165

So, n - 2 = 165 - 2 =163

n + 2 = 165 + 2 = 167