in a fraction the denominator is 6 more than the numerator. If 3 is added to numerator the fraction equals to 2/3 then the fraction is ……………………..
In a fraction the denominator is 6 more than the numerator. If 3 is added to numerator the fraction equals to 2/3 then the fraction is ……………………..
A) 3/9
B) 2/9
C) 2/6
D) 3/6
5 views
2 Answers
Correct option is (A) 3/9
Let the fraction be \(\frac xy.\)
Given that denominator (y) is 6 more than the numerator (x).
\(\therefore\) y = x+6 _________(1)
Also \(\frac{x+3}y=\frac23\)
\(\Rightarrow\) 3x+9 = 2y
\(\Rightarrow\) 3x+9 = 2(x+6) (From (1))
\(\Rightarrow\) 3x - 2x = 12 - 9 = 3
\(\Rightarrow\) x = 3
Then from (1), we get
y = x+6 = 3+6 = 9
\(\therefore\) Given fraction is \(\frac39.\)
5 views
Answered