The sum of three numbers is 24. twice the smallest number is 2 less than the largest number, and the largest number is equal to the sum of the other two. what are the three numbers?

c. the perimeter of a triangle

x + y + z = 24

z - 2 = 2x

z = x + y

So as z = x + y then we can substitute z in the first equation. This makes the first equation something like 2z = 24 and z = 12.

Now if z = 12 we can find x from the second equation. And x comes out to be 5 if we solve it.

Now finally y comes out to be 7 as z is equal to x + y.