The product of the digits of a two-digit number is 36. If 45 is subtracted from the number, then the digits interchange mutually. The number is

Explanation

Let the number = 10x+y According to the question x × y = 36 .................(i) and (10x+y) – 45 = 10y+x (10x+y) – (10y+x) = 45 9x – 9y = 45 x – y = 5 .................(ii) from (i) & (ii) x = 9 & y = 4 So number = 94