The sum of two numbers is 24. their difference is 5. What are the numbers?

Answer 1

if x = first number

y = second number

Then

x + y = 24

and x - y = 5 adding the 2 equations we find

2x = 29 or x = 29/2 Substituting x, 29/2 + y = 24 or y = 48/2 - 29/2 = 19/2

Check: 29/2 + 19/2 = 48/2 = 24

29/2 - 19/2 = 10/2 = 5 OK!