Question

Three consecutive odd numbers add up to 183. find the numbers.

Answer 1

Given,

The sum of three consecutive odd numbers is 183.

Let the three consecutive number be
x , x+2 , x + 4 (since they are odd)

=> x + x + 2 + x + 4 = 183

=> 3x + 6 = 183

=> 3x = 183 -6

=> 3x = 177

=> x =
`(177)/(3)`

=> x = 59

The first number is x , 59

The second number is x+2 , => 59+2 = 61

The third number is x+4 => 59+4 = 63

Answer 2

Odd numbers are numbers that are not completely divisible by 2. they include 1, 3, 5, 7, 9, 11....

We can see that the diffefence between consecutive odd numbers id 2

Considering the given scenario, let the smallest odd number be x.

The next number would be x + 2

the largest of the three odd numbers would be x + 2 + 2 = x + 4

Given that the sum of the three odd numbers is 183, it means that

x + x + 2 + x + 4 = 183

x + x + x + 2 + 4 = 183

3x + 6 = 183

3x = 183 - 6 = 177

x = 177/3

x = 59

x + 2= 59 + 2 = 61

x + 4 = 59 + 4 = 63

The consecutive odd numbers are 59, 61 and 63