Question

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

Answer 1

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.