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a number cosist of 2 digits.when the number is divided by the units digit.the answer is 3.if the digits are reversed.the new number exceeds the original no. by 36.determine the original number

  • maths -

    t = 10's digit and u = unit's digit.

    (10t + u)/u = 3
    Multiply both sides by u

    10t + u = 3u
    10t = 2u
    5t = u



    10u+t =36 + 10t + u

    9u - 9t =36

    divide by 9

    u-t = 4 use this eqution along with the first equation

    Substitute u = 5t to find u and then find t.

    Check your answer.

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