Question

The sum of three consecutive odd number is 459 what will be the biggest number

Answer 1

The difference between two consecutive odd numbers is 2
$let \: the \: numbers \: be \\ x \: \: \: \: \: x + 2 \: \: \: \: \: x + 4 \\ given \\ x + (x + 2) + (x + 4) = 459 \\ 3x + 6 = 459 \\ x = 151$
Biggest number is 151 + 4 = 155

Answer 2

Given,

The sum of 3 consecutive odd numbers is 459.

To find,

The biggest odd number among them.

Solution,

Firstly, let the three odd consecutive numbers be x, x + 2, and x + 4.

Now, it is given that their sum is equal to 459. So,

x + (x + 2) + (x + 4) = 459

Solving the above equation, we get,

3x + 6 = 459

⇒ 3x = 453

⇒ x = 151.

So, the three consecutive odd numbers are,

1. x = 151,
2. x + 2 = 151 + 2 = 153, and,
3. x + 4 = 151 + 4 = 155.

Clearly, the biggest odd number = 155.

Therefore, among three consecutive odd numbers whose sum is 459, the biggest odd number is 155.