Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than

Question

Sum of the digits of a two-digit number is 9. When we interchange the digits, it is
found that the resulting new number is greater than the original number by 27. What
is the two-digit number?

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Alaia 5 days 2021-10-08T23:13:52+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-08T23:15:42+00:00

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    0
    2021-10-08T23:15:45+00:00

    Answer:

    let the one’s digit be x

    and ten’s digit be y

    so the is 10y+x

    therefore

    x+y=9

    y=9-x

    10y+x+27=10x+y

    10(9-x)+x+27=10x+9-x

    x=6

    y=3

    NUMBER IS 36

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