Hello everyone,

Could someone please explain to me how to do false position?

For example, "a quantity; its half and its third are added to it. It becomes 10. What is the quantity?"

My attempt:

The algebraic way:

x+1/2x+1/3x=10

x=10/1+1/2+1/3

x=60/11

False position:

Assume x=2

2+1/2(2)+1/3(2)=

11/3

we want 12, so 12/11/3=36/11

(answer)(guess)=2(36/11)=72/11

Does anyone see where I went wrong? It should be 60/11, not 72/11. Does anyone know of an easy way of choosing the x value?

Thank you very much