The sum of two numbers is 2014, while their difference is 42. what are the two number?

Question

directrix · Answer

Let x and y be the two numbers.

sum of two numbers is 2014

1)  x + y = 2014

 their difference is 42

2)  x - y = 42

directrix · Answer

1)  x  + y = 2014
2)   x - y =      42
    --------------
Add the two equations

2x = 2056

Solve for x

x = ?

Then substitute the value of x into x + y = 2014 and solve for y.

anonymous · Answer

I typically do these types of problems in two parts.  First, solve for one of the variables.  i.e. x = y + 42.  Then plug that into the other equation for x.  So, x+y=2013 becomes y+42+y=2014.  From there you can solve for both variables.