P, Q and R scored 581 runs such that 4 times | vedclass

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Question

(B) Let the runs scored by $P, Q,$ and $R$ be $P, Q,$ and $R$ respectively.Given that $4P = 5Q = 7R$.Let $4P = 5Q = 7R = K$.Then $P = K/4, Q = K/5, R

Vedclass · Accepted Answer

$105$

Vedclass · Answer

(B) Let the runs scored by $P, Q,$ and $R$ be $P, Q,$ and $R$ respectively.Given that $4P = 5Q = 7R$.Let $4P = 5Q = 7R = K$.Then $P = K/4, Q = K/5, R = K/7$.Given that the total runs $P + Q + R = 581$.Substituting the values: $K/4 + K/5 + K/7 = 581$.Taking the $LCM$ of $4, 5,$ and $7$,which is $140$: $(35K + 28K + 20K) / 140 = 581$.$83K / 140 = 581$.$K = (581 	imes 140) / 83 = 7 	imes 140 = 980$.Now,calculate $P$ and $R$: $P = 980 / 4 = 245$ and $R = 980 / 7 = 140$.The difference between $P$ and $R$ is $245 - 140 = 105$.

$P, Q$ and $R$ scored $581$ runs such that $4$ times $P$'s runs are equal to $5$ times $Q$'s runs,which are equal to $7$ times $R$'s runs. Find the difference between $P$'s runs and $R$'s runs.

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