Applications of symbols and Mathematical Representation to Word Problems

A positive number is 5 larger than another positive number. The sum of the squares of the two positive numbers is 53. Find the numbers. Show how you found the solutions.

In[1]:= Solve[{x - y == 5, x^2 + y^2 == 53, x > 0, y > 0}, {x, y}]

Out[1]= {{x -> 7, y -> 2}}

Thank you.