(IX) The sum of the two digits of a 2-digit num is 13. If 9 is subtracted from the number, the digits are reversed. What is the nu

Question

(IX) The sum of the two digits of a 2-digit num
is 13. If 9 is subtracted from the number, the
digits are reversed. What is the number?​

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Luna 2 weeks 2021-10-08T05:24:49+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-10-08T05:26:29+00:00

    Let the 2 digit number be 10a + b, where a and b are the tens digit and the ones digit.

    Given that

    a + b = 13 (equation 1) and

    10a + b —9 = 10b + a (equation 2)

    So 9a = 9b + 9 , which means

    a = b + 1 (equation 3)

    Substitute (3) into (1)

    (b + 1) + b = 13

    2b = 12

    b = 6 (equation 4)

    Substitute (4) into (3)

    a = 6 + 1 = 7 (equation 5)

    The 2 digit number is 76.

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