Question

A two digit number is such that the product of the digits is 8. when 18 is added to the number,the digits are reversed.the number is

Answer 1

Hey

Here is your answer,

Let the ten's and unit digit be x and 8/x respectively.

Then, (10x + 8/x)+ 18 = 10 x 8/x + x

10x2 + 8 + 18x = 80 + x2

9x2 + 18x - 72 = 0

x2 + 2x - 8 = 0

(x + 4)(x - 2) = 0

x = 2.

The number is 24.