one of the digits of a two digit number is 3 more than the other. if 27 is subtracted from the number, its digits are reversed. fi

one of the digits of a two digit number is 3 more than the other. if 27 is subtracted from the number, its digits are reversed. find the number.

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  1. Answer:

    63

    Step-by-step explanation:

    Let us assume, x and y are the two digits of the two-digit number

    Therefore, the two-digit number =10x+y and

    Reversed number =10y+x

    Given:

    x+y=9

    Also given:

    10x+y−27=10y+x

    9x−9y=27

    x−y=3

    Adding equation (1) and equation (2)

    2x=12

    x=6

    Hence,

    The two-digit number =10x+y⇒10×6+3=63

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