Question

The sum of three consecutive odd numbers is 477. What is the 3rd number?

Answer 1

Answer:

Third number = 227 whole 1 / 3

Step-by-step explanation:

Let the three consecutive odd numbers be x, (x+2) and (x+4).

According to the question, we can easily form the following equation,

x + ( x + 2 ) + ( x + 4 ) = 477

=> x + x + 2 + x + 4 = 477

=> 3x + 6 = 477

=> 3x = 677 - 6

=> 3x = 671

=> x = 671 / 3

=> x = 223 whole 2/3

Now, the third number can be calculated as follows,

x + 4

= ( 671 / 3 ) + 4

= ( 671 + 12 ) / 3

= 683 / 3

= 227 whole 1 / 3

Answer 2

The 3rd number is 161.

Step-by-step explanation:

Let the three consecutive odd integer = x, (x + 2) and (x + 4)

To find, the third number = ?

According to question,

The sum of three consecutive odd numbers = 477

∴ x + (x + 2) + (x + 4) = 477      

⇒ x + x + 2 + x + 4 = 477

⇒ 3x + 6 = 477

⇒ 3x = 477  - 6 = 471

⇒ $x=\dfrac{471}{2} =157$

∴ x + 2 = 157 + 2 = 159 and

x + 4 = 157 + 4 = 161

∴ The 3rd number = 161