Question

A two digit number is such that the product of the digits is 8. When 18 is added to the number, then the digits are reveresed, then the number is

Answer 1

unit’s place be ‘b’.
The product of the digits is 8. Therefore ab = 8.
The number is 10a + b. When 18 is added to the number the number gets reversed. So the equation formed is:
10a + b + 18 = 10b + a. Solving we get:
9a - 9b = -18 or a - b = -2 or b-a = 2..
We know that b x a = 8….. (given).
Factors of 8 being 2 and 4 we get the answer as 24. We can cross check the answer by substituting the values.
Answer: 24