Question

8, minus some number divided by 3, equals 6. Find the number.

A) -14/3
B) 4
C) 6
D) 2/3

Answer 1

Option C.

Explanation:

Let x be the unknown number.

Some number divided by 3 ⇒
`(x)/(3)`

8, minus some number divided by 3 ⇒
`8-(x)/(3)`

It is given that 8, minus some number divided by 3, equals 6.

So, the given equation is

`8-(x)/(3)=6`

Subtract 8 from both sides.

`-(x)/(3)=6-8`

`-(x)/(3)=-2`

Multiply both sides by -3.

`x=6`

The value of unknown number is 6. Therefore, the correct option is C.

Answer 2

Option: C is the correct answer.

C) 6

Explanation:

We are given a word problem as:

8, minus some number divided by 3, equals 6.

Let then number be 'b'

i.e. in mathematical expression we are given:

`8-(b)/(3)=6`

on subtracting both side by 8 we obtain:

`(-b)/(3)=6-8\\\\\\(-b)/(3)=-2`

Now on multiplying both side by -1 we have:

`(b)/(3)=2`

On multiplying both side by 3 we obtain:

`b=2* 3\\\\\\b=6`

Hence, the number is : b=6