Question

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

9 + x ÷ 2 = 35
9 + 2x = 35
9 + 35 = 2x
None of the choices are correct.

Answer 1

9-2x=35

Explanation:

Answer 2

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

(A)
`9+x/ 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+(1)/(2)x=35\\\\9+x/ 2=35~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

The solution of equation (i) is as follows :

`9+x/ 2=35\\\\\Rightarrow 9+(x)/(2)=35\\\\\Rightarrow (x)/(2)=35-9\\\\\Rightarrow (x)/(2)=26\\\\\Rightarrow x=2*26\\\\\Rightarrow x=52.`

Thus, the required number is 52 and the correct translation is
`9+x/ 2=35.`

Option (A) is CORRECT.