Question

The sum of two numbers is 53 and the difference is 27. What are the numbers?

Answer 1

The numbers are 39 and 14.

Explanation:

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.