Math, asked by afnaanu906, 2 days ago

If we reverse any three-digit number and subtract the smaller from the larger we get a multiple of 99. Explain this using algebra.

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Answered by sejal3691

Answer: ans

Step-by-step explanation: Let the three-digit number have the digits ABC. Its value is 100A + 10B + C. Reverse its digits to CBA, and its value is 100C + 10B + A. Subtract the smaller from the larger and you will get either 99A - 99C or 99C - 99A, either of which is divisible by 99.

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