The ratio between ages of A and B is 2:3 and that between B and C is 1:2. If the sum of the ages of three is 110 years, how old is C?

 a) 30
 b) 40
 c) 50
 d) 60
KPSC Divisional Accountant-15

60.
Solution
Let ages of A,B and C be x,y and z respectively.
x:y = 2:3
y:z = 1:2
x = 2y/3
z = 2x
Sum of three ages = x+y+Z = 110
2y/3 + y + 2x = 110
=> y = 30
z = 60

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