two numbers have a sum of 24 and a difference of 8. what are the two numbers?

Answer 1

Hey! Lets solve this shall we ?

Let the sum of two numbers equal to 24 be x + y = 24 and the difference of two numbers be x - y = 8. Now we have a system of linear equations to solve for x and y !

x + y = 24

x - y = 8 ........................Lets solve this for x first by the elimination method!

The y's cancel to get

2x = 32............Dividing 2 will get us

x = 16

Then we substitute the x = 16 into the first equation such that

(16) + y = 24.............Then we subtract 16 from 24 to get

y = 8

I hope this helped!