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Number Patterns/Relations

There is a fi...

Question

There is a five-digit number A. With a 1 after it, it is three times as large as with a 1 before it. What is the number?

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Solution

Let the number be x
When 1 is added to its end, the number becomes 10x + 1.
When 1 is added before the number, it becomes 1,00,000 + x.
According to the question, 10x + 1 = 3(1,00,000 + x)
10x + 1 = 3,00,000 + 3x
7x = 2,99,999
x = 42,857
Therefor, the required number is 42857.

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