Question

Virat made twice as many runs as Rohit. The total of their scores is 2 less than a double century. How many runs did each of them make?​

Answer 1

Answer:

$given = Virat \: made \: twice \: as \\ many \: runs \: as \: Rohit. The \\ total \: of \: their \: scores \: is \: 2 /less \: than \: a \: double \: century.$

$to \: find = runs \: did \: each \: of \\ them \: make$

$let \: rohit \: runs \: be \: x$

$Virat \: made \: twice \: as \: many \\ runs \: as \: Rohit.$

$so \: virat \: runs \: is \: 2x$

$double \: century = 2 \times 100 \\ (1 \: century = 100)$

$double \: century \: = 200$

$so \: both \: of \: them \: scores \: of \: 2 \: less \: than \: double \: century$

$so \: 200 - 2 \\ = 198$

$according \: to \: the \: question$

$2x + x = 198 \\ 3x = 198 \\ x = \frac{198}{3} \\ x = 66$

$so \: rohit \: runs \: is \: 66 \: runs$

$virat \: runs = 2x \\ = 2(66) \\ = 132$

therefore rohit runs is 66 runs and virat runs is 132 runs

$verification \\ rohit \: runs + virat \: runs \\ 66 + 132 \\ = 198 \: runs$

hence it is also proved

Explanation:

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