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If x runs are scored by A, y runs by B and z runs by C, then x : y = y : z = 3 : 2. If total
number of runs scored by A, B and C is 342, the runs scored by each would be respectively
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- 144, 96, 64
- 162, 108, 72
- 180, 120, 80
- 189, 126, 84
Correct Option: B
x : y = 3 : 2 = 9 : 6
y : z = 3 : 2 = 6 : 4
∴ x : y : z = 9 : 6 : 4
∴ 9a + 6a + 4a = 342
⇒ 19a = 342
⇒ a = 342 ÷ 19 = 18
∴ A ⇒ 18 × 9 = 162
B ⇒ 18 × 6 = 108
C ⇒ 18 × 4 = 72
