Previous Year Questions

Let the ages if Anil, Mukesh and Bill be 'x', 'y' and 'z' years respectively.

Given, (x + y + z)/3 = 22

=> x + y + z = 66

Also, (x + 2)/(y + 2) = 11/12

=> 12x + 24 = 11y + 22

=> 11y - 12x = 2

=> y = (2 + 12x)/11

Bill's age when Anil was born = z - x

Given, z - x = x - 16

=> z = 2x - 16

∴ x + (2 + 12x)/11 + 2x - 16 = 66

=> 3x + (2 + 12x)/11 = 82

=> 33x + 2 + 12x = 902

=> 45x = 900

=> x = 20

z = 2*20 - 16 = 24

y = (2 + 12*20)/11 = 22

∴ x:y:z = 20:22:24 = 10:11:12