Verified Answer :

(1/3)x - 6 = 8
           +6   +6

(1/3)x = 14
3           3

x = 42 is the answer :)

Answer:

The number is 42.

Step-by-step 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 \(\frac{1}{3}x\)

One-third of a number, decreased by six  expressed as \(\frac{1}{3}x-6\)

then whole expression become, \(\frac{1}{3}x-6=8\)

Now, solving for the above expression \(\frac{1}{3}x-6=8\)

Adding 6 both sides, we have,

\(\frac{1}{3}x-6+6=8+6\)

\(\frac{1}{3}x=14\)

Multiply both side by 3 , we get,

\(x=14\times 3=42\)

Thus, the number is 42.