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Question

# From Delhi station, if we buy 2 tickets for station A and 3 tickets for station B, the total cost is Rs 77. But if we buy 3 tickets for station A and 5 tickets for station B, the total cost is Rs 124. What are the fares from Delhi to station A and to station B?

A
A= Rs 21 and B= Rs 19
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B
A= Rs 13 and B= Rs 17
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C
A= Rs 18 and B= Rs 12
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D
A= Rs 16 and B= Rs 19
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Solution

## The correct option is B A= Rs 13 and B= Rs 17From the given information, we can write2A+3B=77 ...(1)3A+5B=124 ...(2)Subtracting (1) and (2), we get A+2B=47⇒A=47−2BSub that in (1)2(47−2B)+3B=77⇒94−B=77B= Rs 17A=47−2(17)= Rs 13

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