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22 The sum of three numbers is 855 . One of the numbers, x, is 50% more than the sum of the two numbers. What is the value of x ? A

User Stlvc
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Final answer:

To find the value of x, set up an equation based on the given information and solve for x.

Step-by-step explanation:

To find the value of x, we can set up an equation based on the given information. Let's call the other two numbers a and b. We know that x = 1.5(a + b) and a + b + x = 855. Substituting the value of x in the second equation, we get a + b + 1.5(a + b) = 855. Simplifying the equation, we have 2.5(a + b) = 855. Dividing both sides by 2.5, we find that a + b = 342. Since a + b + x = 855, we can solve for x by subtracting a + b from both sides: x = 855 - (a + b). We now have the value of x.

User Robert J Berger
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3 votes

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.

User Torayeff
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