Find two numbers if their sum is 6.1 and their difference is 1.6
Accepted Solution
A:
For this case, the first thing we must do is define variables: x: unknown number (1) y: unknown number (2) We now write the equations that model the problem: their sum is 6.1: [tex]x + y = 6.1
[/tex] their difference is 1.6: [tex]x - y = 1.6
[/tex] Solving the system we have: We add both equations: [tex]x + x = 6.1 + 1.6
2x = 7.7
x = 7.7 / 2
x = 3.85[/tex] Then, we look for the value of y using any of the equations: [tex]x - y = 1.6
y = x - 1.6
y = 3.85 - 1.6
y = 2.25[/tex] Answer: The numbers are: [tex]x = 3.85
y = 2.25[/tex]