The average of x occurring 5 times and y occurring 7 times is 37. Also, the average of x occurring 7 times and y occurring 5 times is 35. The value of y is:

45 42 30 27

42

Avg. of 5x + 7y =37 Avg. of 7x + 5y =35 So, 5x + 7y =37  x 12 ------- A 7x + 5y =35  x 12 -------B 7(A) - 5(B) 24y = 12 x ( 37 x 7 - 35 x 5) y = 42