The sum of two numbers is 287. The difference of the two numbers is 237. What are the two numbers

Answer 1

Let x be the one of the two numbers and y be the other. On this basis, we are going to translate the above statement as follows:

x+y =287

x-y=237

The sum of these two equations is x+y +x-y=287+237 -> 2x=524 -> x=262

By substituting 262 for x in either of of the above equations we get:

262-y=237-> y=25

The two numbers are 262 and 25