Question
Find three consecutive odd numbers whose sum is 159.
Hint:
let the three consecutive odd numbers be 2n+1;2n+3 and 2n+5 .
Sum of three consecutive odd number = 159
The correct answer is: 51,53 and 55.
Ans :- The three consecutive odd numbers which satisfy the given condition are 51,53 and 55
Explanation :-
let the three consecutive odd numbers be 2n+1;2n+3 and 2n+5 .
Sum of three consecutive odd numbers = 159.
(2n+1) + (2n+3) +(2n+5) = 159
2n + 2n + 2n +1+3+5 =159
6n + 9 =159
6n = 150
3(2n) = 150
2n = 50
We get 2n = 50 So, 2n+1 = 50+ 1 =51; 2n +3 = 50+3 =53; 2n + 5 = 55
∴ The three consecutive odd numbers which satisfy the given condition is 51,53,55.
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