A two digit number is such that the product of its digits is 14. When 45 is added to the number,the digits are reversed. Find the number.

Question

it is a question based on the idea of factorization. i do not know how to assign my variables

Answer 1

Let's ab be the two digit number.

1) a*b=14

 

2) ab+45=ba

10a+b+45=10b+a

9a-9b=-45 (divide by 9)

a-b=-5

 

So we have the following system of equation

a*b=14

a-b=-5

which you should solve to get a=2, b=7.

The number is 27.