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

x+y+z=855; x=y+z+50/100•(y+z)=150/100•(y+z); 15(y+z)/10+ y+z=855; 15y+15z+10y+10z=8550; 25(y+z)=8550; y+z=342; x=15•342/10=513

Answer 2

Answer:

We have been given the sum of three numbers is 855:

x+y+z=855

And x, is 50%, more than the sum of the other two numbers:

$x=\frac{50}{100}+y+z$

$x=\frac{1}{2}+y+z$

$\Rightarrow 2x=y+z$

Substitute y+z=2x in x+y+z=855

2x+x=855

On simplification:

3x=855

x=285

Hence, the value of x is 285.