Question

A two digit no such that the product of its digit is 24. If 8 added to the digit are reversed. Find the no.

Answer 1

Let x = the 10's digit
Let y = the units
then
10x + y = the number

"The product of digit of two digit number is 24."
x * y = 24

"If 18 is added to the number, digits are reversed."
10x + y + 18 = 10y + x
10x - x + 18 = 10y - y
9x + 18 = 9y
simplify, divide by 9. results
x + 2 = y

Using the 1st equation, replace y with (x+2)
x(x+2) = 24
x^2 + 2x - 24 = 0; our old friend, the quadratic equation!
Factors to
(x+6)(x-4) = 0
the positive solution
x = 4
then
y = 4 + 2
y = 6
as x=4 y=6
46 is the number

:) Hope this helps!!!!!