CAT Question > A, B, and C play cricket. If the ratio of th...

A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?

Correct answer is '162'. Can you explain this answer?

A : B : : 3 : 2

B : C :: 3 : 2

Let B = X

⇒A = 3X/2

and,

C = 2X/3

⇒ A + B + C = 342

⇒ 3X/2 + X + 2X/3 = 342

⇒ 9X + 6X + 4X = 342 × 6

⇐ 19X = 342 × 6

⇒ X = 108

⇒ Runs scored by A = (3(108))/2 = 162

Hence, the correct answer is 162.

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A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?Correct answer is '162'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?Correct answer is '162'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?Correct answer is '162'. Can you explain this answer?.

A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?Correct answer is '162'. Can you explain this answer? for CAT 2023 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?Correct answer is '162'. Can you explain this answer? covers all topics & solutions for CAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B, and C play cricket. If the ratio of the number of runs scored by A to that scored by B and the number of runs scored by B to that scored by C is 3:2. The total number of runs is 342. The number of runs scored by A was?Correct answer is '162'. Can you explain this answer?.

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A : B : : 3 : 2B : C :: 3 : 2Let B = X⇒A = 3X/2and,C = 2X/3⇒ A + B + C = 342⇒ 3X/2 + X + 2X/3 = 342⇒ 9X + 6X + 4X = 342 × 6⇐ 19X = 342 × 6⇒ X = 108⇒ Runs scored by A = (3(108))/2 = 162Hence, the correct answer is 162.