I have to find voltage across R<sub>5</sub> using superposition theorem but the problem is that I have a voltage difference of 4.16V,

[![Circuit][1]][1]


<b>Solution:-</b><br>
<em><u>Shorting battery V<sub>S1</sub></u></em>

[![V<sub>s1</sub> shorted circuit][2]][2]

R<sub>34</sub> =8/3Ω =2.67Ω (Solved R<sub>3</sub> & R<sub>4</sub> in parallel)<br>
R<sub>234</sub> =41/3Ω =13.67Ω (Solved R<sub>34</sub> & R<sub>2</sub> in series)<br>
R<sub>1234</sub> =205/56Ω =3.66Ω (Solved R<sub>234</sub> & R<sub>1</sub> in parallel)<br><br>
<em>Using Voltage Divider Formula on R<sub>5</sub></em><br>
(1)V<sub>5</sub>= 6.56V (Voltage when V<sub>S1</sub> is shorted)<br><br>
<em>Shorting Battery V<sub>S2</sub></em><br>
[![V<sub>S2</sub> shorted circuit][3]][3]

R<sub>34</sub> =8/3Ω =2.67Ω (Solved R<sub>3</sub> & R<sub>4</sub> in parallel)<br>
R<sub>234</sub> =41/3Ω =13.67Ω (Solved R<sub>34</sub> & R<sub>2</sub> in series)<br>
R<sub>2345</sub> =287/62Ω =4.62Ω (Solved R<sub>3</sub> & R<sub>4</sub> in parallel)<br><br>
<em>Using Voltage Divider Formula on R<sub>2345</sub></em><br>
Therefore, (2)V<sub>5</sub>=V<sub>2345</sub>= 2.40V(Voltage when V<sub>S2</sub> is shorted)<br><br>
<b> Since the flow of voltage is opposite on R<sub>5</sub> the resultant voltage(V<sub>5</sub>) can be obtained by taking the difference of the voltages obtained by shorting the batteries.</b><br>
<em>Resultant</em> V<sub>5</sub> =(1)V<sub>5</sub> - (2)V<sub>5</sub><br>
<em>Resultant</em> V<sub>5</sub> = 6.56 - 2.40<br>
<em>Resultant</em> V<sub>5</sub> = 4.16V<br>
x------------------------------------------------------------x--------------------------------------------------------------------x<br><br>
According to my solution after taking the difference at the end I'm obtaining a value of 4.16V of V<sub>5</sub> but according to the given answer it says that the answer is 2.40V. I want to know that if there is something wrong with my solution or the answer provided is wrong?.

  [1]: https://i.sstatic.net/1Uo8Y.png
  [2]: https://i.sstatic.net/osZQj.png
  [3]: https://i.sstatic.net/YakO2.png