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

The value of x = 513

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+(x)/(1.5)=855`

Multiply both sides by 1.5

`x\cdot \:1.5+(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

`(2.5x)/(2.5)=(1282.5)/(2.5)`

`x = 513`

Therefore, the value of x = 513