A number consists of two digits whose sum is 15 if 27 is subtracted the digits are reversed find the number PLEASE ANSWER STEP BY STEP

Question

A number consists of two digits whose sum is 15 if 27 is subtracted the digits are reversed find the number PLEASE ANSWER STEP BY STEP

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Mia 3 weeks 2021-08-20T06:02:46+00:00 2 Answers 0 views 0

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    0
    2021-08-20T06:04:05+00:00

    Answer:

    96

    Step-by-step explanation:

    Let the digit in the unit place be x. Then, digit in the tens’ place = (15-x).

    Therefore, the number is 10x+15-x=9x+15.

    So, the new number by reversing=10(15-x)+x=150-10x+x=150-9x.

    Also, the new number is 9x+15-27=9x-12.

    Therefore,

    150-9x=9x-12

    or, 9x+9x=150+12

    or, 18x=162

    or, x=162/18

    or, x=9

    Therefore, the number = 10×9+15-9 = 96

    0
    2021-08-20T06:04:38+00:00

    let one digit be x

    and ten digit be y

    therefore the number is 10y+x

    also x+y=15=> v=15-x

    10y+x27=10x+y

    put y=15-x

    10(5-x) +x-27=10x+15-x

    x=6

    y=9

    number=96

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