algebra

a number of two digits divided by the sum of the digits the quotient is 7 and the remainder is 6 . if the digits of the number are interchanged, the resulting number exceeds three times the sum of the digits by 5.

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

    translate the English to Math
    (Math is a language)

    "divided by the sum of the digits the quotient is 7 and the remainder is 6 "

    (10y+x)/(x+y) = 7 + 6/(x+y)
    times (x+y)
    10y + x = 7(x+y) + 6
    10y + x = 7x + 7y + 6
    3y - 6x = 6
    y - 2x = 2
    y = 2x+2

    " if the digits of the number are interchanged, the resulting number exceeds three times the sum of the digits by 5"
    10x + y = 3(x+y) + 5
    10x + y = 3x + 3y + 5

    Time for you to take over

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