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 [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.
