Sum of two digits of a 2-digit number is 9. When 27 is subtracted from the number, it is found that the digits have interchanged t

Question

Sum of two digits of a 2-digit number is 9. When
27 is subtracted from the number, it is found
that the digits have interchanged their position.
Find the number.​

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Skylar 1 month 2021-08-13T17:07:31+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-08-13T17:08:45+00:00

    Answer:

    Step 1 :Let the unit’s digit be x

    Step 2 :Then, ten’s digit = (9 – x)

    ∴ Number = 10 × (9 – x) + x

    ⇒ 90 – 10x + x = (90 – 9x)

    Step 3 :Adding 27 to the number 90 – 9x, we get 117 – 9x

    Step 4 :Number with digits interchanged is 10x + (9 – x) = 9x + 9

    Step 5 :117 – 9x = 9x + 9

    Step 6 :Therefore unit’s digit = 6 and ten’s digit = 3

    Step 7 :Hence the number = 36.

    Step-by-step explanation:

    hope it is hepful for you, have a nice day

    0
    2021-08-13T17:08:57+00:00

    it’s the answer

    plz mark me as brainliest

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