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    Question

    Sum of two digits of a two digit number is 11. When

    digits of the number are reversed then number formed is 45 more than the original number. Find the original number.
    A 65 Correct Answer Incorrect Answer
    B 56 Correct Answer Incorrect Answer
    C 83 Correct Answer Incorrect Answer
    D 38 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number be 10x + y. ATQ, => 10y + x – 10x - y = 45 => y – x = 5 ------ (i) => x + y = 11 ------ (ii) Solving (i) and (ii) , we get => x = 3 and y = 8 Therefore number = 38

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