Question

What is the maximum and minimum number of digits in the sum of any two 6-digit numbers?

Answer 1

Hint: In this particular question use the concept that the sum of any two 6 digit numbers is maximum if we add two greatest 6 digit numbers and the sum of two 6 digit numbers is minimum if we add two smallest 6 digit numbers, so use these concepts to reach the solution of the question.

Complete step-by-step answer:
Now as we all know that the greatest 6 digit number is 999999, and the smallest 6 digit number is 100000.
Now we have to find out the maximum and minimum number of digits in the sum of any two 6-digit numbers.
Now as we know that the sum of any two 6 digits is maximum if we add two greatest 6 digit numbers. And the sum of two 6 digit numbers is minimum if we add two smallest 6 digit numbers.
So for maximum number of digits we have to add two greatest 6 digit numbers and for minimum number of digits we have to add two smallest 6 digit numbers.
So the addition of two greatest 6 digit numbers is = 999999 + 999999 = 1999998.
So the number of digits in the addition of two greatest 6 digit numbers is = 7.
So the maximum number of digits in the sum of any two 6 digit numbers are 7.
Now the addition of two smallest 6 digit numbers is = 100000 + 100000 = 200000.
So the number of digits in the addition of two smallest 6 digit numbers is = 6.
So the minimum number of digits in the sum of any two 6 digit numbers are 6.
So, this is the required answer.

Note: Whenever we face such types of questions the key concept we have to remember is that always recall that in greatest 6 digits number all the digits are equal to 9 i.e. 999999, and in smallest 6 digit number all the digits are equal to zero except first digit it should be the smallest digit but it cannot be zero otherwise number become zero, so it should be the next digit after zero i.e. 1, so minimum 6 digit number is 100000.