the sum of three consecutive odd natural number is 153 find the numbers
(x-2)+x+(x+2) = 153
49,51,53
1st --- x
2nd --- x+2
3rd ---- x+4
solve for x:
x + x+2 + x+4 = 153
Let's assume the first odd natural number as x.
So, the second odd natural number would be x + 2. (Since consecutive odd numbers have a difference of 2)
And the third odd natural number would be x + 4.
According to the information given, the sum of these three numbers is 153.
So, we can form the equation:
x + (x + 2) + (x + 4) = 153.
Now let's solve this equation step-by-step:
Combine like terms:
3x + 6 = 153.
Subtract 6 from both sides to isolate 3x:
3x = 147.
Divide both sides by 3 to solve for x:
x = 147/3.
Simplify:
x = 49.
So, the first odd natural number is 49.
Now, we can find the other two odd natural numbers:
The second odd natural number is x + 2 = 49 + 2 = 51.
The third odd natural number is x + 4 = 49 + 4 = 53.
Therefore, the three consecutive odd natural numbers whose sum is 153 are 49, 51, and 53.
To find the three consecutive odd natural numbers, we can use algebraic equations.
Let's assume that the first odd number is represented by x. Since the numbers are consecutive, the next two odd numbers will be x + 2 and x + 4.
According to the problem, the sum of the three numbers is 153. We can set up the equation:
x + (x + 2) + (x + 4) = 153
Simplifying the equation:
3x + 6 = 153
Now, we can solve for x:
3x = 153 - 6
3x = 147
x = 147/3
x = 49
So the first odd number is 49.
The second odd number is x + 2 = 49 + 2 = 51.
The third odd number is x + 4 = 49 + 4 = 53.
Therefore, the three consecutive odd natural numbers are 49, 51, and 53.