Question

The fraction become $\frac{9}{11}$, if $2$ is added to both the numerator and the denominator. If $3$ is added to both the numerator and the denominator, it becomes $\frac{5}{6}$. Taking the Numerator & denominator as x & y respectively, frame two linear equations from the given conditions.

• A. $11x=9y+4$ , $6x=5y+3$
• B. $11x=9y-4$ , $6x=5y-3$
• C. $11y=9x-4$ , $6x=5y-3$
• D. $11x=9y-4$ , $6y=5x-3$

Answer 1

The correct option is B $11x=9y-4$ , $6x=5y-3$

$\frac{9}{11}=\frac{2+x}{2+y}=>18+9y=22+11x=>11x=9y-4\frac{3+x}{3+y}=\frac{5}{6}=>18+6x=15+5y=>6x=5y-3$