Question

Find the number, if the sum of 9 and a half a number equals 35. Which of the following translations is correct?

Answer 1

Answer: The required number is 52 and the correct option is

(A) $9+x\div 2=35.$

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 :

$9+\dfrac{1}{2}x=35\\\\9+x\div 2=35~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

The solution of equation (i) is as follows :

$9+x\div 2=35\\\\\Rightarrow 9+\dfrac{x}{2}=35\\\\\Rightarrow \dfrac{x}{2}=35-9\\\\\Rightarrow \dfrac{x}{2}=26\\\\\Rightarrow x=2\times26\\\\\Rightarrow x=52.$

Thus, the required number is 52 and the correct translation is $9+x\div 2=35.$

Option (A) is CORRECT.

Answer 2

Answer:

9-2x=35

Step-by-step explanation: