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    Question

    The sum of digits of a two-digit number is 10. When the

    digits are reversed, the number decreases by 54. Find the changed number.
    A 73 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 82 Correct Answer Incorrect Answer
    D 37 Correct Answer Incorrect Answer

    Solution

    Let the unit digit =x and tens =y 10y + x After reversed digit =10x+y ATQ- 10x+y-10y-x =54 9x -9y =54. x-y =6 x + y =10 x =2, y =8. Original number =82 Change number =28.

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