a) Forming the smallest six digit number with different digits. Reverse the number and add the sum of the two numbers.
b)Forming the smallest five digit number with different digits. Reverse the number and add the sum of the two numbers.
what can be hard to this? You obviously want 102345 as the smallest 6-digit number with no repeated digits.
sir, what about b) part
oh, please. It's the same as (a), but with 5 digits instead of 6.
Thank You Sir,
But when we know 1023 are five digit no. then what after that, i mean to say that---------
Reverse the number and add the sum of the two numbers.
This part
plse sir, i shall be thankful to you
10234 is the smallest 5-digit number
43201 is the reverse
53435 is the sum
a) To form the smallest six-digit number with different digits, we need to use the digits from 0 to 9 without repetition. Since the number needs to be the smallest, we start with the digit 0 as the first digit. For the remaining five digits, we can use any of the digits from 1 to 9 in ascending order.
The smallest six-digit number with different digits is therefore organized as follows:
0 _ _ _ _ _
Now, to find the reversed version of this number, we simply reverse the order of the digits:
_ _ _ _ _ 0
Next, we add the original number and the reversed number together. Let's say the original number is ABCDEF and the reversed number is FEDCBA. The sum of these two numbers is ABCDEF + FEDCBA.
In this case, the original number is 0 _ _ _ _ _ and the reversed number is _ _ _ _ _ 0. To find the sum, we add each corresponding digit together. The result will be a six-digit number.
For example, if the original number is 0 1 2 3 4 5, then the reversed number is 5 4 3 2 1 0. Adding these two numbers digit by digit, we get:
0 1 2 3 4 5
+ 5 4 3 2 1 0
---------------
5 5 5 5 5 5
Therefore, the smallest six-digit number with different digits, reversed and added to the original number, results in 555555.
b) Similarly, to form the smallest five-digit number with different digits, we start with the digit 0 as the first digit. For the remaining four digits, we can use any of the digits from 1 to 9 in ascending order.
The smallest five-digit number with different digits is organized as follows:
0 _ _ _ _
To find the reversed version of this number, we simply reverse the order of the digits:
_ _ _ _ 0
Next, we add the original number and the reversed number together. Let's say the original number is ABCDE and the reversed number is EDCBA. The sum of these two numbers is ABCDE + EDCBA.
In this case, the original number is 0 _ _ _ _ and the reversed number is _ _ _ _ 0. To find the sum, we add each corresponding digit together. The result will be a five-digit number.
For example, if the original number is 0 1 2 3 4, then the reversed number is 4 3 2 1 0. Adding these two numbers digit by digit, we get:
0 1 2 3 4
+ 4 3 2 1 0
---------------
4 4 4 4 4
Therefore, the smallest five-digit number with different digits, reversed and added to the original number, results in 44444.