Page 61 - Maths Skill - 6

Number Play 59

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.
Now understand the above concept by using the example given below.

Take a 4-digit number 9264
Now, P = 9642 (biggest number by using digits 9, 2, 6, 4)
Q = 2469 (smallest number by using digits 9, 2, 6, 4)
R = P – Q = 9642 – 2469

R = 7173
Here R ≠ 6174
So, again repeat this concept
Now taking 4-digit number is 7173

Here, P = 7731
Q = 1377
R = P – Q = 7731 – 1377 = 6354
R ≠ 6174

So, again repeat this concept
Now, taking 4-digit number is 6354
Here, P = 6543
Q = 3456

R = P – Q = 6543 – 3456 = 3087
R ≠ 6174
So, again repeat this concept