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March 25, 2017

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A two digit number has the property that the units digit is 4 less than the tens digit and the tens digit is twice the units digit. What is the number?

  • math - ,

    84

  • math - ,

    BAD is correct. It is 84. If you would like to use algebra, do the following:
    x:= Unit Digit Number
    y:= Tens Digit Number

    The units digit is 4 less than the tens digit number so We know that
    x=y-4

    The tens digit is twice the units digit so we know that
    y=2x

    Now we can take the 1st equation and substitue into the second equation, then solve for Y.
    y=2x
    y=2(y-4)
    y=2y-8
    8=y so y=8
    Now, sub this back into the 1st equation
    x=y-4=8-4=4
    so the number is yx = 84.

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