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Three students A, B and C play cricket. The runs scored by A and B respectively are in the ratio 3 : 2. B’s runs to C’s runs are also in the same ratio. Together they score 342 runs. Then the runs scored by B are
  • a)
    216
  • b)
    108
  • c)
    90
  • d)
    171
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Three students A, B and C play cricket. The runs scored by A and B res...
Given, runs scored by A and B respectively are in the ratio 3 : 2.
∴ A’s score   
Also B’s runs to C’s runs are also in the same ratio.
∴ B’s score : C’s score = 3 : 2

Together they scored 342 runs.
∴ A’s score + B’s score + C’s score = 342

⇒ B’s score = 108
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Most Upvoted Answer
Three students A, B and C play cricket. The runs scored by A and B res...
Scored 24 runs. The runs scored by A and C respectively are in the ratio 4 : 5. What is the total number of runs scored by all three students?

Let's assume that A and B scored 3x and 2x runs respectively.
According to the given information, 2x = 24.
So, x = 12.
Therefore, A scored 3 * 12 = <3*12=36>>36 runs.
The ratio of A's and C's runs is 4 : 5.
Hence, C scored 5/4 * 36 = <5 *36="45">>45 runs.
Therefore, the total number of runs scored by A, B, and C is 36 + 24 + 45 = <36+24+45=105>>105 runs. Answer: \boxed{105}.
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Three students A, B and C play cricket. The runs scored by A and B respectively are in the ratio 3 : 2. B’s runs to C’s runs are also in the same ratio. Together they score 342 runs. Then the runs scored by B area)216b)108c)90d)171Correct answer is option 'B'. Can you explain this answer?
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