Respuesta :
Answer: The required number is 52 and the correct option is
(A) [tex]9+x\div 2=35.[/tex]
Step-by-step explanation: Given that the sum of 9 and half a number equals 35.
We are to find the number and also to select the correct translation.
Let x represents the required number.
Then, according to the given information, the equation can be written as :
[tex]9+\dfrac{1}{2}x=35\\\\9+x\div 2=35~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The solution of equation (i) is as follows :
[tex]9+x\div 2=35\\\\\Rightarrow 9+\dfrac{x}{2}=35\\\\\Rightarrow \dfrac{x}{2}=35-9\\\\\Rightarrow \dfrac{x}{2}=26\\\\\Rightarrow x=2\times26\\\\\Rightarrow x=52.[/tex]
Thus, the required number is 52 and the correct translation is [tex]9+x\div 2=35.[/tex]
Option (A) is CORRECT.
