Sum of digits of a two digit number is 9. When the digits are interchanged, the new number is greater than the original number by

Question

Sum of digits of a two digit number is 9. When the digits are interchanged, the
new number is greater than the original number by 9. Find the original number.​

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Sophia 8 months 2021-10-03T08:49:10+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-03T08:50:42+00:00

    Answer:

    original number is 45,,,

    if v interchange v get 54,,,

    adding 4+5=9,,first criteria

    difference of 54-49=9, second criteria

    both criteria fulfilled

    0
    2021-10-03T08:50:46+00:00

    \huge\bold\star\purple{Answer}

    Let the digits be x and y.

    Then, x+y = 9

    the original number is 10x+y.

    On reversing, we get the new number as 10y+x

    The new number is greater than the old number by 27, i.e.

    (10y+x) – (10x+y) = 27

    or 9y-9x = 27, or y-x = 3

    and x+y = 9

    Adding the two equations, we get 2y = 12 or y = 6.

    Thus, x = 3.

    Therefore, the original number is 36……☺

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