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Of a number is added to the numerator of 3/7 and twice that number is added to the denominator of 3/7, the resulting fraction is equivalent to 10/21. Find the number

Respuesta :

Answer:

x = 7

Step-by-step explanation:

Let the number added to the numerator is x.

ATQ,

[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}[/tex]

Cross multiplying each side,

[tex]\dfrac{3+x}{7+2x}=\dfrac{10}{21}\\\\63+21x=70+20x\\\\21x-20x=70-63\\\\x=7[/tex]

Hence, the person that is added is 7.

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