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41.
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Two
bus tickets from city A to B and three tickets from city A to C cost Rs. 77
but three tickets from city A to B and two tickets from city A to C cost Rs.
73. What are the fares for cities B and C from A ?
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A.
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Rs. 4, Rs. 23
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B.
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Rs. 13, Rs. 17
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C.
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Rs. 15, Rs. 14
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D.
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Rs. 17, Rs. 13
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Answer: Option B
Explanation:
Let Rs. x be the fare of city B from city A
and Rs. y be the fare of city C from city A.
Then, 2x + 3y = 77 ...(i) and
3x + 2y = 73 ...(ii)
Multiplying (i) by 3 and (ii) by 2 and
subtracting, we get: 5y = 85 or y = 17.
Putting y = 17 in (i), we get: x = 13.
