Question

Given BX/XC=AB/AC then (BX+XC):XC=?:AC. The ? Is equal to which expression shown?

Answer 1

My answer is AB + AC. Hope this helps

Answer 2

AB+AC

Explanation:

Given:
`(BX)/(XC)=(AB)/(AC)`

To determine: (BX+XC) : XC =? : AC

We need to find ? here

We have

`(BX)/(XC)=(AB)/(AC)`

Add 1 both sides

`(BX)/(XC)+1=(AB)/(AC)+1`

Taking LCM and simplify it

`(BX+XC)/(XC)=(AB+AC)/(AC)`

We can write fraction as ration

(BX+XC) : XC= (AB+AC) : AC

At place of "?" we get AB+AC

Thus, option 3 is correct. AB+AC