The total ages of A, B and C at present is 90 years. Ten

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The total ages of A, B and C at present is 90 years. Ten years ago the ratio of their ages was 1 : 2 : 3. Then the present age of B is .... ?

1. 30 years
2. 20 years
3. 40 years
4. None of these

Correct Option: A

Let the respective ages of A, B and C, ten years ago be x, 2x and 3x years.
∵ (x + 10) + (2x + 10) + ( 3x + 10) = 90
⇒ 6x = 60
⇒ x = 10
∴ B's present age = 2x + 10 = 30 years