Question

One-third of a number, decreased by six equals eight. What is the number?

Answer 1

(1/3)x - 6 = 8
+6 +6

(1/3)x = 14
*3 *3

x = 42 is the answer :)

Answer 2

The number is 42.

Explanation:

Given word problem "One-third of a number, decreased by six equals eight"

We have to find the number.

Consider the given problem "One-third of a number, decreased by six equals eight"

Let the number be x,

This can be expressed mathematically as ,

One-third of a number written as
`(1)/(3)x`

One-third of a number, decreased by six expressed as
`(1)/(3)x-6`

then whole expression become,
`(1)/(3)x-6=8`

Now, solving for the above expression
`(1)/(3)x-6=8`

Adding 6 both sides, we have,

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

`(1)/(3)x=14`

Multiply both side by 3 , we get,

`x=14* 3=42`

Thus, the number is 42.