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
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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
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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