Five Digit Number Quiz Puzzle Answer


An interesting numbers problem this week.

You have a five-digit number. From this you produce two six-digit numbers A and B by placing a one before the number and after the number respectively.

The number B is three times bigger than the number A.

So what is the original five-digit number?

Let N be the original number.

A = 100,000 + N

B = 10N + 1

and because 3A = B

3(100,000 + N) = 10N + 1

300,000 + 3N = 10N + 1

299,999 = 7N

42,857 = N

To verify this, A = 142,857 and B = 428,571 and

3 x 142,857 = 428,571

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