Answer:
72
Step-by-step explanation:
The two digit number can be represented by xy, where x and y must add to 9 and x - y must subtract to 5. Make a system of equations.
Use the elimination method and add the terms from top to bottom like so. The y and -y cancel out.
2x = 14
Divide both sides by 2.
x = 7
Substitute 7 for x into the first equation (either eqn would work).
(7) + y = 9
Subtract 7 from both sides.
y = 2
Combine these two together; xy --> (7)(2) --> 72.
The number is 72.
