The ratio of the present ages of Sunitha and Vinita is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence?

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Question:

The ratio of the present ages of Sunitha and Vinita is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence?

A15:19

B13:15

C16:19

D17:19

Answer:

C. 16:19

Explanation:

Let the present ages of Sunitha and Vinitha be 4x, 5x respectively. (4x + 6) : (5x + 6) = 14:17 (5x + 6) x 14= (4x + 6) x 17 70x + 84 = 68x + 102 70x - 68x = 102 - 84 2x = 18 x=9 The ratio of their ages after 12 years =(4 x 9 + 12): (5 x 9+12) =(36 + 12): (45 + 12) = 48:57 =16:19

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