The sum of the digits of a two-digit number is 12. The difference of the digits is 2. Find the number if the units digit is larger than the tens digit.

Question

elimination using addition and subtraction

Answer 1

A two digit number xy (x tenth, y unit digit), y>x

x+y=12

y-x=2

x=5

y=7

 

57

Answer 2

The number is 57.

Answer 3

How about 7 and 5.

Now what is the number?