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enot [183]
3 years ago
15

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

x?
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
8 0

Answer:

The value of x = 513

Step-by-step explanation:

Let x, y, and z be the three numbers

Given

x+y+z=855

Assuming x be the number which is 50% more than the sum of the other two numbers.

i.e.

(150)% of (y+z) = 1.5(y+z)

                y + z = x/1.5

As we know that

x + y + z = 855

substituting y + z = x / 1.5 in the equation

x+\frac{x}{1.5}=855

Multiply both sides by 1.5

x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5

1.5x+x=1282.5

2.5x=1282.5

Divide both sides by 2.5

\frac{2.5x}{2.5}=\frac{1282.5}{2.5}

x = 513

Therefore, the value of x = 513

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