The sum of three numbers is 114. The second number is 3 times the third. The first number is 6 less than the the third. What are the numbers?

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

step-by-step explanation:

10+4√2 is the answer. i dont have the time to explain.