Question

One half of one-third of a number x equals 6. What is the number​

Answer 1

Answer:

36

Step-by-step explanation:

before starting let's write the first statement as it is

' One half of one third of a number equals 6'

let the number be x

if so then

it is given that one half of one third of x is 6

so lets do this slowly

first we will take one third of x which equals=1/3 of x or we can also write it as x/3

now lets look at the statement again

we got one third of x, bow lets find one half of the number which we got which is one half of x/3

so, what will we do, we will simply divide x/3 by 2 or we will multiply x/3 by 1/2 , both steps are one and the same

x/3 ÷2 or x/3 *1/2 which is equal to x/6

Now since we got the condition of statement in variables let's make it an equation by equating it to the number which the term x/6 equals to that is,

x/6=6

solve this equation by taking 6 to the other side that is,

x=6*6

x=36

Let's verify the answer

Let's assume that x is 36

then let's look at the statement

'one half of one third of x is 6'

Let's take one third of 36 that is

36* 1/3 which equals 12

now let's look at the second half

'one half of one third of x'

we already know one third of x which is 12

so let's take half of 12 that is

12/2 which equals to 6 which was given in the question

hence our answer is correct and we have verified it also

If you have any doubts you can check the two photos attached to this answer

I have posted two separate photos on solution and verification.

Hope it helps

Thank You

Have a nice day

Answer 2

Answer:

On half of one-third of a number X equals 6. Answer=36