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

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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?

Verified Answer

A, B, and C play cricket. If the ratio of the number of runs scored b...

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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