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

Question

use the given conditions to write a system of equations. solve the system and find the numbers.

Answer 1

Let's assume the nnumbers are x & y

Hence Given that, x+y= 9....(1)

                   and, x-y= 3 ....(2)

                         2x  =12 ...... adding (1) and (2),

                       =>x =6 ......... dividing both sides by 2

Substituting x=6 in (1), 6+y=9

                                 => y=3... subtracting 6 from both sides

 

Hence the numbers are 6 and 3.

Answer 2

For this problem the system is given by:

 

The sum of 2 numbers is 9:

 

x + y =9

 

The difference between the two numbers is 3:

 

x - y = 3

 

Now to solve, add the two equations together

 

    x + y = 9

+(x - y = 3)

    2x     = 12

 

x = 6    6 + y = 9, therefore y = 3

 

The two numbers are 6 and 3.

Hope this helped :)