the sum is 19 and has a difference of 7

Question

i need help

Answer 1

I assume you mean "the sum of two numbers is 19 and their difference is 7?"

Let the two numbers be x and y, and assume  x ≥ y (so we can write equation (2) without the absolute value sign):  

 

(1) x + y = 19   

(2) x - y = 7    

 

Adding these two equations gives:

2x = 26

  x = 13  —>  y = 6

 

 

Answer:

The two numbers are 13 and 6

 

Check:

Sum is 13+6=19, difference is 13-6 = 7