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. What is the sum of the largest odd number and the largest even number?

The largest odd and largest even numbers add up to 81.

Let smallest odd = a and smallest even = b, with odds a, a+2, a+4 and evens b, b+2, b+4.

Sum = 3a + 3b + 12 = 231, so a + b = 73.

Given a = b - 11, substitute: (b - 11) + b = 73, so 2b = 84, b = 42.

Then a = 31, largest odd = a + 4 = 35 and largest even = b + 4 = 46.

35 + 46 = 81.