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    Question

    The ratio between the sum of the digits of a two-digit

    number and that two-digit number is 1 : 9. If the digit in the unit's place is six less than the digit in the ten’s place, then find the 25% of the number.
    A 19.38 Correct Answer Incorrect Answer
    B 28.12 Correct Answer Incorrect Answer
    C 37.04 Correct Answer Incorrect Answer
    D 20.5 Correct Answer Incorrect Answer

    Solution

    ATQ, Let ten's digit and unit's digit be x and (x-6) respectively Sum of digits = x + (x-6) = 2x – 6 Let the number be 10x + (x-6) = 11x - 6 (2x – 6) / (11x – 6) = 1/9 18x – 54 = 11x – 6 7x = 48 x = 8 Number is 82 Required number = 82 * 25/100 = 20.5

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