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A number is multiplied by 3. Next, 6 is added to the product. Then, the sum is divided by 8. If the result is 6, what is the number ?

 Dec 13, 2019
 #1
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The number is 14: 

 

{[14  x  3] + 6 } / 8 = 6

 Dec 13, 2019
 #2
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Prerequisites as follows:

A number                                                 x

is multiplied by 3.                                    3x             

Next, 6 is added to the product.              3x + 6         

Then, the sum is divided by 8.               (3x + 6) / 8                   

If the result is 6,                                     (3x + 6) / 8 = 6

 

Procedure as follows:

multiply both sides by 8        and you get    3x + 6 = 48     

subtract 6 from both sides    and you get    3x       = 42              

divide both sides by 3           and you get      x = 14           

 

what is the number ?    14              

.

 Dec 13, 2019

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