Question:
Tick (✓) the correct answer
$\frac{x+5}{2}+\frac{x-5}{3}=\frac{25}{6}$ gives
(a) $x=3$
(b) $x=4$
(c) $x=5$
(d) $x=2$
Solution:
(b) $x=4$
$\frac{x+5}{2}+\frac{x-5}{3}=\frac{25}{6}$
$\Rightarrow \frac{3(x+5)+2(x-5)}{6}=\frac{25}{6}$ (because L.C.M. of $2 \& 3$ is 6 )
$\Rightarrow \frac{3 x+15+2 x-10}{6}=\frac{25}{6}$
$\Rightarrow \frac{5 x+5}{6}=\frac{25}{6}$
$\Rightarrow 5 x+5=25$ (cancelling 6 from the denominator on both the sides)
$\Rightarrow 5 x=25-5$
$\Rightarrow 5 x=20$
$\Rightarrow x=\frac{20}{5}$
$\Rightarrow x=4$
Click here to get exam-ready with eSaral
For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.