Solution:-

let us assume two digits be PQ.

As per the condition given in the question,

Product of digits is , … [equation (i)]

63 is subtracted from the number, the digits interchange their places,

… [equation (ii)]

Now, assume two-digit number be PQ, means (as it comes in tens digit)

Then,

By transposing we get,

Divide both side by ,

… [equation (iii)]

So,

Substitute the value of P in equation (iii),

Therefore, … [because value of Q can’t be negative]

Then,

Therefore, the number is .