Final answer:
By setting up equations using the given information and solving them, we can find the value of x to be 513.
Step-by-step explanation:
In this question, we are given that one of the numbers, x, is 50% more than the sum of the other two numbers. We need to find the value of x.
Let's assume the other two numbers are a and b. According to the given information, we have:
x = (a + b) + 0.50(a + b)
x = 1.50(a + b)
We also know that the sum of the three numbers is 855:
a + b + x = 855
Substituting the value of x from the first equation into the second equation, we get:
a + b + 1.50(a + b) = 855
2.50(a + b) = 855
a + b = 855 / 2.50
a + b = 342
Substituting this back into the first equation gives us:
x = 1.50(342)
x = 513
Therefore, the value of x is 513.