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## Sagot :

**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 [tex]\frac{1}{3}x[/tex]

One-third of a number, decreased by six expressed as [tex]\frac{1}{3}x-6[/tex]

**then whole expression become, [tex]\frac{1}{3}x-6=8[/tex]**

**Now, solving for the above expression [tex]\frac{1}{3}x-6=8[/tex]**

**Adding 6 both sides, we have,**

[tex]\frac{1}{3}x-6+6=8+6[/tex]

[tex]\frac{1}{3}x=14[/tex]

**Multiply both side by 3 , we get,**

[tex]x=14\times 3=42[/tex]

**Thus, the number is 42.**