A positive two-digits number is such that the product of the digits is 24.When the digits are reversed,the number formed is greater than the original number by 18.Find the number

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  1. let the unit digit be x
    and the tens digit by y
    then the original number is 10y + x
    and the number reversed is 10x + y

    10x + y - (10y + x) = 18
    9x - 9y = 18
    x - y = 2
    but we also know that xy = 24

    it should be obvious that the two number are 6 and 4.
    Since reversing the numbers made the number bigger, the original must have been 46

    6x4 = 24 , that's good
    original = 46
    reversed = 64
    64 - 46 = 18 , all is good!

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  2. Let the digits be xy,x is the ones digit& y tens digit.Hence;
    Numbers 6,-4
    Since digits were(+)ignore the(-)sign
    Product of digits xy;6×4=24,terrific
    Original number=46
    New number=64

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