One number is half another number. the sum of the two numbers is 57. find the two numbers

Let's call one number x and one number y.

x/2=y

x+y=57

We can set these equations equal to each other to solve for the numbers by subtracting x from both sides of the second equation. Now the equations are:

y=-x+57 and x/2=y

Since both equations equal y, they are also equal to each other:

-x+57=x/2

First, multiply both sides by 2:

-2x+114=x

Add 2x to both sides.

114=3x

Divide both sides by 3.

38=x

One of the numbers is 38. Now, we can plug 38 in for x in either of the equations to solve for y:

(38)+y=57

Subtract 38 from both sides:

y=19

The two numbers are 38 and 19.

I hope this helps :)