Question

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

Answer 1

Answer:

AB+AC

Step-by-step explanation:

Given: $\frac{BX}{XC}=\frac{AB}{AC}$

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

We need to find ? here

We have

$\frac{BX}{XC}=\frac{AB}{AC}$

Add 1 both sides

$\frac{BX}{XC}+1=\frac{AB}{AC}+1$

Taking LCM and simplify it

$\frac{BX+XC}{XC}=\frac{AB+AC}{AC}$

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

Answer 2

My answer is AB + AC. Hope this helps