Question

x is a number such that three times x is 36. Which of these will be equal to 8? A. x/6 B. x/3 C. 2x/3 D. 3x/4

Answer 1

Answer:

x=12;(c) 2x/3

Step-by-step explanation:

3x=36

x=36/3

x=12

putting the value of x in each options

when you will put the value of x=12 in each option you will see that in (c) option , when we will put the value of x the answer will be 8

(2(12))/3

=24/3

=8

Answer 2

2x/3 will be equal to 8

Given : x is a number such that three times x is 36

Options for required answer :

1. x/6
2. x/3
3. 2x/3
4. 3x/4

To find : The x related term from the given options which is equal to 8.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to find the required x related term)

First of all, we have to calculate the value of x itself.

According to the data mentioned in the question,

3 × x = 36

x = 36/3

x = 12

Now, we need to put the value of x in the given options. The correct option will produce 8 as the final result.

Putting, x = 12 in x/6

So,

x/6 = 12/6 = 2

Putting, x = 12 in x/3

So,

x/3 = 12/3 = 4

Putting, x = 12 in 2x/3

So,

2x/3 = (2×12)/3 = 8

Putting, x = 12 in 3x/4

So,

3x/4 = (3×12)/4 = 9

Now, only 2x/3 produces 8 as the final result.

Hence, 2x/3 will be equal to 8