Algebra

The sum o the digits of a two-digit number is 6. The number with the digits interchanged is 3 times the tens digit of the original number. Find the original number.

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  1. in original number:
    tens digit --- x
    unit digit --- y

    x+y = 6 ---> y = 6-x

    original number: 10x + y
    number reveresed: 10y+x

    10y + x = 3(x)
    10y = 2x
    10(6-x) = 2x
    60 - 10x = 2x
    -12x = -60
    x = 5
    y = 1

    original number: 51

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