Question

If $\frac{2x+1}{3x-2}=\frac{9}{10}$, then the value of 'x' is:

• A. 2
• B. 4
• C. 6
• D. 8

Answer 1

The correct option is B 4

$\frac{2x+1}{3x-2}=\frac{9}{10}$

$\Rightarrow 10(2x+1)=9(3x-2)$

$\Rightarrow 20x+10=27x-18$

$\Rightarrow 10+18=27x-20x$

$\Rightarrow 28=7x$

$\Rightarrow 7x=28$

$\Rightarrow x=\frac{28}{7}=4$

The value of 'x' is 4.