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Two missing digits from a divisibility rule plus a condition: evaluate an expression

This type of question, asked 2 times: 26 Jul 2023 S2, 18 Sep 2024 S3. All 2 questions below, oldest first.

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  1. Question 1

    26 Jul 2023 S2

    58
    A 9-digit number 846523X7Y is divisible by 9, and Y−X=6Y - X = 6. Find the value of 2X+4Y\sqrt{2X + 4Y}.

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  2. Question 2

    18 Sep 2024 S3

    68
    If the 9-digit number 5x79856y6 is divisible by 36, then what is the negative value of (2x+y)\sqrt{(2x + y)} for the largest possible value of y, given x and y are natural numbers?

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