The sum of three consecutive natural numbers is 114.Find th number.
A.36,37,38
B.31,32,33
C.37,38,39
D.35,36,37
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☆ Solution ☆
Given :-
- The sum of three consecutive natural numbers is 114.
To Find :-
- The numbers.
Step-by-Step-Explaination :-
Let,
- The first consecutive natural number be x
- The second consecutive natural number be x + 1
- The third consecutive natural number be x + 2
So,
x + x + 1 + x + 2 = 114
3x + 3 = 114
3x = 114 - 3
3x = 111
x = 111/3
x = 37
Thus,
The value of x is 37.
Now,
- The first consecutive natural number = x = 37
- The second consecutive natural number = x + 1 = 37 + 1 = 38
- The third consecutive natural number = x + 2 = 37 + 2 = 39
Hence,
Option b) 37, 38, 39 is correct option.
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