Question

A two-digit number is such that the product of its digits is 14. If 45 is added to the number, the digit interchange their places. Find the number

Answer 1

Let the digits at units and tens places be x and y, respectively.

∴ xy = 14

(∵ the digit cannot be negative)

Putting x = 7 in equation (i), we get:

y = 2

∴ Required number = 10 x 2 + 7 = 27