Answer:
x = 25,
y = 10
Step-by-step explanation:
Call the larger number "x", and the smaller one "y".
Set up a system, based on the given infomration
x + y = 35
x - y = 15
Solve the system by elimination, in this case, one can just add the two systems to eliminate a variable.
x + y = 35
x - y = 15
x + y + x - y = 15 + 35
Simplify,
2x = 50
Inverse operations,
2x = 50
/2 /2
x = 25
Substitute back in to find y,
x + y = 35
x = 25
25 + y = 35
Inverse operations,
25 + y = 35
-25 -25
y = 10
