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.
