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Miscellaneous·2022·Easy

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p x q = 2430, then what is the difference between p and q?

Let p be a two-digit number and q be the number consisting of same digits written in reverse order. If p x q = 2430, then what is the difference between p and q?

Options

  1. a.

    45

  2. b.

    27

  3. c.

    18

  4. d.

    9

    Correct answer

Explanation

The given product p × q = 2430 ...(i) The last digit is 0, so one two of the digits must be 5 and other one an even number 2, 4, 6 or 8. Let this unknown digit be x. So, p = 10x + 5 and q = 50 + x putting in (i), (10x + 5) × (50 + x) = 2430 Now, try 2, 4, 6 and 8, x = 4 Therefore, p = 45 and q = 54 Required difference = q - p = 54 – 45 = 9

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