 Hi and welcome to the session. Let us discuss the following question. Question says, find the values of the letters in the following and give reasons for the steps included. Let us now move on to the solution. First of all, we will rewrite the given puzzle that is AB multiplied by 6 gives BBB. Now we need to find value of two letters they are A and B. Now clearly you can see units place of 6 multiplied by B is B itself. So you can write once place of 6 multiplied by B is B. Now this happens only if value of B is 2, 4, 6 or 8. Clearly you can see when value of B is 2 then the units place of the product is also 2. When value of B is 4 then units place of the product is also 4. When value of B is 6 then units place of 6 multiplied by B is 6. When value of B is 8 then units place of 6 multiplied by B is 8. Now we can write this can happen when B is equal to 2, B is equal to 4, B is equal to 6 or B is equal to 8. Now when B is equal to 2 then the product will become 2, 2, 2 but 222 is not a multiple of 6. So value of B cannot be 2. Now we can write if B is equal to 2 we get the product BBB as 222 which is not a multiple of 6. So B cannot be equal to 2. Now when B is equal to 4 then we get the product BBB as 4, 4, 4. Now clearly you can see 444 is divisible by 6 or we can say 444 is a multiple of 6, multiplying 6 and 74 we get 444. Now we can write this product as 74 multiplied by 6 gives 444. Clearly you can see here we have solved this puzzle. Here value of B is 4 and value of A is 7. Now we can write if B is equal to 4 we get the product BBB as 444 which is a multiple of 6. So value of B is 4. Here we have solved the given puzzle and required value of A is 7 and value of B is 4. So this is our required answer. This completes the session. Hope you understood the solution. Take care and bye for now.