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

Sagot :

(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 [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.