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:The value of x = 513Step-by-step explanation:Let x, y, and z be the three numbersGiven[tex]x+y+z=855[/tex]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/1.5As we know that[tex]x + y + z = 855[/tex]substituting y + z = x / 1.5 in the equation [tex]x+\frac{x}{1.5}=855[/tex]Multiply both sides by 1.5[tex]x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5[/tex][tex]1.5x+x=1282.5[/tex][tex]2.5x=1282.5[/tex]Divide both sides by 2.5[tex]\frac{2.5x}{2.5}=\frac{1282.5}{2.5}[/tex][tex]x = 513[/tex]Therefore, the value of x = 513