13 is related to 117 following a certain logic. Following the same logic, 23 is related to 207. To which of the following is 51related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding /deleting /multiplying etc. to 13 can be performed. Breaking down 13 into 1and 3 and then performing mathematical operations on 1 and 3 is not allowed)

If 29 A 17 B 20 = 32 and 33 A 14 B 10 = 29, then 11 A 8 B 3 = ?

In the following number pairs, the second number is obtained by performing certain mathematical operations on the first number. Now what numbers should come in place of X and Y so that the pattern followed by the numbers written outside :: is the same as the numbers written to the right of ::. (Note: Mathematical operations should be performed without separating the factors of whole numbers. For example, 13 – mathematical operations like addition/subtraction/multiplication etc. can be performed on the number 13. Separating the factors of 13, 1 and 3, and performing mathematical operations on 1 and 3 are not allowed.)
X : 47 :: 16 : Y

Select the option that is related to the fourth term in the same way as the first term is related to the second term and the fifth term is related to the sixth term.
126 : 14 :: ? : 38 :: 207 : 23