a number consists of two digits. one of the digits is greater than the other by 5 when the digits are reversed the number becomes 3 divided

Question

a number consists of two digits. one of the digits is greater than the other by 5 when the digits are reversed the number becomes 3 divided by 8 of the original number. find the number​

in progress 0
Xavia 6 months 2021-08-04T10:48:35+00:00 1 Answers 10 views 0

Answers ( )

    0
    2021-08-04T10:50:17+00:00

    Answer:

    The number is 72.

    Step-by-step explanation:

    Let the digits be x and x – 5 where x  is the first digit.

    (As the number reversed = 3/8 of the original number the first digit must be the largest),

    Consider the reverse digit number:

    The original number = 10x + (x – 5) so the reverse number is 10(x – 5) + x and

    10(x – 5) + x  = 3/8(10x + (x – 5))

    11x – 50 = 3/8(11x – 5)      

    11x – 50 = 33/8 x – 15/8              Multiply through by 8:

    88x – 400 = 33x – 15

    55x = 385

    x = 7

    and x-5 = 2.

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )