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If a number is added to the numerator of 11/37 and twice the number is added to the denominator of 11/37, the result is equivalent to 1/3. Find the number.

Respuesta :

sqdancefan

Answer:

  4

Step-by-step explanation:

Let the number to be added be represented by x. Then we want ...

  [tex]\dfrac{11+x}{37+2x}=\dfrac{1}{3}\\\\3(11+x)=37+2x\\\\3x+33=2x+37 \quad\text{simplify}\\\\x=4 \quad\text{subtract $2x+33$}[/tex]

The number is 4.

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