Question

A two digit number is such that the product of the digits is 16. When 54 is subtracted from the number, the digits are interchanged find the number.

Answer 1

Let the number be xy ( x > 0 and y > 0)
We know that xy = 10x + y
Given,

Also, given
$10x+y-54=10y+x$
$9x-9y=54$
$x-y=6$

But as the number is positive so the value of x is 8.
Therefore,
So the number is
$xy=10x+y$
=