If x runs 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 = ?

A. 144, 96, 64

B. 162, 108, 72

C. 180, 120, 80

D. 189, 126, 84

Answer: Option B

Solution(By Examveda Team)

Given,
X : Y = 3 : 2
Y : Z = 3 : 2
Equal the value of Y in both equation
X : Y = 3 : 2 (multiply with 3) and
Y : Z = 3 : 2 (multiply with 2)
i.e. X : Y = 9 : 6 and
Y : Z = 6 : 4
∴ X : Y : Z = 9 : 6 : 4

Total Run scored by A, B and C = 342
Run Scored by A = $$\frac{9}{19} \times 342 = 162$$
Run Scored by B = $$\frac{6}{19} \times 342 = 108$$
Run Scored by C = $$\frac{4}{19} \times 342 = 72$$