the sum of 2 numbers is 24. Their difference is 15. what are the two numbers

Question

The sum of two numbers is 24. Their difference is 15. What are the two numbers.

Answer 1

x+y = 24

x-y = 15

 

Thus, x=15+y

 

Substitute for x in first equation becomes 15 +y + y = 24.

 

2y=9; therefore y=4.5, and since x = 24-y, x= 19.5

 

Check answer: 4.5 + 19.5 = 24; 19.5-4.5 = 15