Question

In an election between two candidates, one candidate secured 58% of the
votes polled and won the election by 18,336 votes. Find the total number of votes
polled and the votes secured by each candidate.

Answer 1

$\boxed{ \footnotesize❥ \: \fbox{ \tt{ Solution:-}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\bullet\footnotesize\tt \blue{ \: Votes \: secured \: by \: winning \: candidate(one candidate) = 58\%}$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \: losing \: candidate(another candidate) = 100\% - 58\%}$

$\bullet\footnotesize\tt \blue{ \: Votes \: secured \: by \: losing \: candidate(another candidate) = 42\%}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\blue \bullet\footnotesize\tt{ \: Difference \: of \: votes \: secured \: between \: winning \: and \: losing \: candidate = 58\% - 42\%</p><p>}$

$\bullet\footnotesize\tt \blue{ \: Difference \: of \: votes \: secured \: between \: winning \: and \: losing \: candidate = 16\%}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\blue \bullet\footnotesize\tt{ \: 16\% \:of \: votes \: polled = 18336 \: votes}$

$\blue \bullet\footnotesize\tt{ \: \frac{16}{100} \: of \:votes \: polled = 18336 \: votes}$

$\blue \bullet\footnotesize\tt{ \: No. \: of \: votes \: polled = 18336 \times \frac{100}{16} \: votes}$

$\blue \bullet\footnotesize\tt{ \: No. \: of \: votes \: polled = \frac{1833600}{16} \: votes }$

$\blue \bullet\footnotesize\tt{ \: No. \: of \: votes \: polled = \cancel \frac{1833600}{16} \: votes }$

$\bullet\footnotesize\tt \blue{ \: No. \: of \: votes \: polled = 114600 \:votes }$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \: winning \: candidate = 58\%of \: 114600 \:votes }$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \: winning \: candidate = \frac{58}{100} \: 1146 00 \:votes }$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \: winning \: candidate = \frac{58}{1 \cancel00} \: 1146 \cancel{00} \:votes }$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \: winning \: candidate = 58 \times 1146 \: votes}$

$\bullet\footnotesize\tt \blue{ \: Votes \: secured \: by \: winning \: candidate = 66468 \: votes}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \:losing \: candidate = 42\% \: of \: 114600 \:votes }$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \:losing \: candidate = \frac{42}{100} \: \times \: 114600 \:votes }$

$\blue \bullet\footnotesize\tt{ \: Votes \: secured \: by \:losing \: candidate = \frac{42}{1 \cancel{00}} \: \times \: 1146 \cancel{00} \:votes }$

$\bullet\footnotesize\tt \blue{ \: Votes \: secured \: by \: winning \: candidate = 48132 \: votes}$

$\: \: \: \: \: \: \: \: \: \: \: \: \:$

$\boxed{ \footnotesize❥ \: \fbox{ \footnotesize\tt \blue{ \: No. \: of \: votes \: polled = 114600 \:votes }}}$

$\boxed{ \footnotesize❥ \:\fbox{\footnotesize\tt \blue{ \: Votes \: secured \: by \: winning \: candidate = 66468 \: votes}}}$

$\boxed{ \footnotesize❥ \:\fbox{\footnotesize\tt \blue{ \: Votes \: secured \: by \: winning \: candidate = 48132 \: votes}}}$