The sum of three consecutive odd numbers is 57. find the numbers
Answers
The sum of three consecutive odd numbers is 57. find the numbers
➩The sum of 3 consecutive odd number = 57
➩The three consecutive odd numbers
First, we can call the smallest of the odd integers x
Then, we find the next odd integer
So the middle of our consecutive odd integers can be expressed as
We can apply the same method for the last odd integer, it is 4 more than the first odd integer, so it can be seen as
We are finding the sum to be 57, so we create the equation
Combine like terms:
Subtract:
Divide:
So, our integers are 17, 19, 21
Given →
The sum of three consecutive odd numbers is 57. find the numbers.
To find →
The numbers.
Solution :
Let,
the value of the three consecutive no's be
x, x + 2 , x+4
A/c ,
- The sum of the three consecutive no's are 57
i.e.,
→ x + x+ 2 + x + 4 = 57
→ 3x + 6 = 57
→ 3x = 57 - 6
→ 3x = 51
→ x = 17
Now, put the value of x= 17 in other two no's
x = 17
x + 2 = 19
x + 4 = 21
The three consecutive no's are 17 , 19 and 21
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