147k views
1 vote
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

User Argenis
by
6.7k points

1 Answer

7 votes

Answer:

x = 7

Explanation:

Let the number added to the numerator is x.

ATQ,


(3+x)/(7+2x)=(10)/(21)

Cross multiplying each side,


(3+x)/(7+2x)=(10)/(21)\\\\63+21x=70+20x\\\\21x-20x=70-63\\\\x=7

Hence, the person that is added is 7.

User Lazar Kukolj
by
6.8k points