**Guess The Number Puzzle - 7 December**

I know a 5 digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it.

Guess the number ?

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I know a 5 digit number having a property that With a 1 after it, it is three times as large as it would be with a one before it.

Guess the number ?

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The number is 42857. ( 142857*3=428571)

ReplyDeleteFirst I took the number as 10000a+1000b+100c+10d+7. The last digit is 7 because we have to get 1 in the unit place after multiplying by 3. Then I formed the equation based on the fact that the number will triple itself with a one after it. After that I got the respective values for the digits....

This is a good question.

No the no. 1 only occurs if you have divided the (1) base unit, (/) by it's original form!!

ReplyDeleteHow far back to basics do we have to go????

There is only a (3)three if you have your other hand occupied !

ReplyDeleteThis comment has been removed by the author.

ReplyDelete1xxxxx *

ReplyDelete3

-----------

xxxxx1

To get 1 in answer 3 should be multiplied with 7 . so

1xxxx7 *

3

-----------

xxxxx1

now we got the right most digit of our initial five digit number. Since the five digits remains the same the second left digit in answer we can write 7

1xxxx7 *

3

-----------

xxxx71

To obtain 7 we need to multiply 3 with 5 and add the remainder 2 in the previous multiplication. so the calculation now becomes

1xxx57 *

3

-----------

xxxx71

similarly

1xxx57 *

3

-----------

xxx571

1xx857 *

3

-----------

xxx571

1xx857 *

3

-----------

xx8571

1x2857 *

3

-----------

xx8571

1x2857 *

3

-----------

x28571

142857 *

3

-----------

x28571

142857 *

3

-----------

428571

So 142857 * 3 = 428571

This comment has been removed by the author.

ReplyDelete10x + 1 = 3(x + 100000)

ReplyDelete10x + 1 = 3x + 300000

7x = 299999

x = 42857

Ur method is good n simple. I have used a long method to arrive the result.

Delete