Question

The sum of two numbers is 60 and the difference is 15. What are the numbers?

Answer 1

Equation 1, sum of the numbers:

x + y = 53

Equation 2, difference of the numbers:

x - y = 25

System of equations:

x + y = 53
x - y = 25
----------------
2x = 78

x = 39

Solve for y:

39 + y = 53

y = 14

The numbers are 39 and 14.