Sum of 3 consecutive odd numbers and 3 consecutive even numbers together is 231. Also the smallest odd number is 11 less than the smallest even number. What is the sum of the largest odd number and the largest even number?

Given:

The sum of 3 consecutive odd numbers and 3 consecutive even numbers together is 231.

Also, the smallest odd number is 11 less than the smallest even number.

Calculation:

Let's assume the smallest odd number as x.

The three consecutive odd numbers will be x, x + 2, and x + 4.

The three consecutive even numbers will be (x + 11), (x + 11) + 2, and (x + 11) + 4.

Now, we can write the equation based on the sum of the numbers:

⇒ x + (x + 2) + (x + 4) + (x + 11) + (x + 13) + (x + 15) = 231

Simplifying the equation:

⇒ 6x + 45 = 231

⇒ 6x = 231 - 45

⇒ 6x = 186

⇒ x = 186 / 6

⇒ x = 31

So, the smallest odd number is 31.

The three consecutive odd numbers are 31, 33, and 35.

The three consecutive even numbers are 31 + 11 = 42, 42 + 2 = 44, and 42 + 4 = 46.

The largest odd number is 35, and the largest even number is 46.

The sum of the largest odd number and the largest even number is 35 + 46 = 81.

Therefore, the correct answer is 81.