A number between 10 and 100 is 8 times the sum of its digits. If 45 is substracted from it, the result equals the number formed by int

Question

A number between 10 and 100 is 8 times the sum of its digits. If 45 is substracted
from it, the result equals the number formed by interchanging its digit. Find the
number

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Kim Chi 5 months 2021-08-09T15:00:23+00:00 1 Answers 8 views 0

Answers ( )

    0
    2021-08-09T15:01:49+00:00

    Answer:

    72

    Step-by-step explanation:

    Let the number be xy

    Value of number = 10x+y

    10x+y=8(x+y)

    10x+y=8x+8y

    2x-7y+0........(1)

    10x+y-45=10y+x

    9x-9y=45

    x-y=5............(2)

    Multiply by -2

    -2x+2y=-10

    Add to (1)

    -5y=-10

    y=2

    x-y=5

    x-(2)=5

    x=7

    Number = 72

    hope this helps…

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