Question

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?

Answer 1

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