which is the greatest 7 digit even number and its successor even number?
Answers
9999998 is a greatest 7 digit even no.
It's successor will be 9999999 which is not an even no.
Given : The greatest 7 digit even number.
To find : The greatest 7 digit even number itself and it's successor even number.
Solution :
We can simply solve this mathematical problem by using the following mathematical process. (our goal is to determine the required even numbers)
We will start the process by taking the greatest 7 digit number itself.
The greatest 7 digit number = 9999999
Now, the above mentioned greatest 7 digit number is not an even number, because it doesn't end with 0,2,4,6 or 8 (hence, not divisible by 2).
Which implies, 9999999 is an odd number.
So,
The greatest 7 digit even number will be the number which comes just before the 9999999 (Because, each odd number has an even number as its predecessor. And, we have chosen the previous even number not the next even number because the next even number will have 8 digits, which will violate the given condition.)
So, the greatest 7 digit even number :
= 9999999 - 1
= 9999998
Its successor even number :
= 9999998 + 2 (two consecutive even numbers shares a difference of 2)
= 10000000
Hence, the greatest 7 digit even number is 9999999 and its successor even number is 10000000