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If 16 is added to 1/3 of a number the result is 3 times the number what is the number?

Respuesta :

Answer: The number is 6

Step-by-step explanation:

Let the number be x,

1/3 of the number is the same as 1/3 of x , so from the first statement , we have

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

Multiplying the equation through by 3 , we have

48 + x = 9x

48 = 9x - x

48 = 8x

divide through by 8

therefore :

x = 6

Therefore : the number is 6