Question

The sum of two numbers I'd 16. Three times the larger number decreased by the smaller is 72. Find the number

Answer 1

Answer:

22, -6

Step-by-step explanation:

Create a system of equations.

x= the larger number

y=the smaller number

Using what you know, create the equations:

x+y=16

3x-y=72

Now add the two equations together. (elimination method)

    x+y=16

+  3x-y=72                (the y's cancel out)

-----------------

     4x = 88               Divide.

       x = 22

Now plug in x=22 into one of your equations to solve for y.

x+y=16

22+y=16

y=-6

The numbers are 22 and -6.