The numbers would be 10 and 5 The explanation for this is because
The sum of x and y would be 15 or in other words x+y=15
Though the difference of x and y or x-y is 5.
x-y=5 x=5+y
You would then replace x from the first equation to the 2nd equation
x+y=15 5+y+y=15 5+2y=15 2y=10 y=5
So if we know that y is 5, we also know we should substitute y for 5. x+y=15 x+5=15 x=10
Now we know that x is 10. So the sum if two numbers are 15 and their difference is 5. If we were to ask ourselves ‘what are the two numbers?’ the answer would be Sum: 10+5=15 Difference: 10-5=5