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seropon [69]
3 years ago
11

the sum of two numbers is 9. if one number is subtracted from the other, the result is 3. find the numbers

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0
Let's say x to the first number and y to the second one.
We add them : x+y=9
Then we substract them : x-y=3
Now we add the equations: 

(x+y)+(x-y)=9+3\\ x+x+y-y=12\\ 2x=12\\ \\ x=\frac { 12 }{ 2 } \\ \\ x=6

and finally rewrite the equation:

6+y=9\\ y=9-6\\ y=3\\ \\ x=6\quad and\quad y=3
irakobra [83]3 years ago
6 0
X, y - the numbers

The sum of the two numbers is 9.
x+y=9

If one number is subtracted from the other, the result is 3.
x-y=3

Solve the system of equations:
x+y=9 \\
\underline{x-y=3} \\
x+x=9+3 \\
2x=12 \ \ \ |\div 2 \\
x=6 \\ \\
x+y=9 \\
6+y=9 \ \ \ |-6 \\
y=3

The numbers are 6 and 3.
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