The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more than the or

Question

The units digit of a two digit number is 1 more than twice the tens digit. If the digits are reversed, the new number is 36 more than the original number. Find the number.

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Allison 3 weeks 2021-09-25T20:24:21+00:00 1 Answer 0

Answers ( )

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    2021-09-25T20:26:06+00:00

    Answer:

    37

    Step-by-step explanation:

    Let the initial number be xy=10x+y.

    Initial number:

    Units digit = y

    Tens digit = x

    The units digit of a 2-digit number is 1 more than twice the tens digit, then

    y=2x+1

    Reversed number is yx=10y+x.

    If the new number is 36 more than the original number, then

    (10y+x)-(10x+y)=36

    Simplify this equation:

    10y+x-10x-y=36\\ \\9y-9x=36\\ \\y-x=4

    Substitute y=2x+1 into the equation y-x=4:

    (2x+1)-x=4\\ \\2x+1-x=4\\ \\x+1=4\\ \\x=3\\ \\y=2\cdot 3+1=7

    Initial number: 37

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45:7+7-4:2-5:5*4+35:2 =? ( )