Page 60 - Revised Maths Wisdom Class - 6

58 MATHS

Formation of Palindromic numbers

This method is applicable only when we start with the 2-digit number. All the two digit numbers with its reverse
and see what will be the result? If we get sum of palindromic number then stop otherwise we further add the result
with its reverse number.

Let’s see the given examples:

(a) 5 4 (b) 2 9
+ 4 5 + 9 2
9 9 Palindromic number 1 2 1 Palindromic number

RIDDLE
RIDDLE

(c) 7 6 (d) 9 6 I am a 4-digit palindrome.
+ 6 7 + 6 9 I am an odd number.
1 4 3 1 6 5 My ‘t’ digit is double of my ‘u’ digit.
+ 3 4 1 + 5 6 1 My ‘h’ digit is double of my ‘t’ digit.
4 8 4 Palindromic number 7 2 6
+ 6 2 7 Who am I? ___________
1 3 5 3
+ 3 5 3 1
4 8 8 4 Palindromic number

Kaprekar Constant
In 1949, D. R. Kaprekar discovered an interesting and magical phenomenon when playing with 4-digit numbers.

For this, we have to follow the given steps in sequence.

Take any 4-digit number

Make the biggest number by using these digits (which you have choosen
in previous step) and represent this number by ‘P’

Make the smallest number by using digits which you have choosen
in starting and represent this number by ‘Q’

Now, subtract Q from P and represent this result by ‘R’

If R = 6174 then terminate otherwise (R ≠ 6174) then go to forward
and assume this new number as 4-digit number.

By using this flow chart, you will always reach the magic number ‘6174’ and this number ‘6174’ is known as
Kaprekar constant.