If 11: 14 is the ratio of present age of A and B respectively and 9:16 is the ratio between A‘s age 8 years ago and B‘s age 8 years hence. Then what will be the ratio of A‘s age 8 years hence and B‘s age 8 years ago?

13: 12

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12: 11

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8: 13

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6: 11

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None of the above

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Solution

The correct option is A
13: 12
Present age of A and B is 11x and 14x
Then $\frac{11 x - 8}{14 x + 8} = \frac{9}{16} \Rightarrow 50 x = 200 \Rightarrow x = 4$
So Required ratio is 44 + 8:56 - 8 = 13:12

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If 11: 14 is the ratio of present age of A and B respectively and 9:16 is the ratio between A‘s age 8 years ago and B‘s age 8 years hence. Then what will be the ratio of A‘s age 8 years hence and B‘s age 8 years ago?

The correct option is A 13: 12Present age of A and B is 11x and 14x Then 11x−814x+8=916⇒50x=200⇒x=4 So Required ratio is 44 + 8:56 - 8 = 13:12

The correct option is A
13: 12
Present age of A and B is 11x and 14x
Then $\frac{11 x - 8}{14 x + 8} = \frac{9}{16} \Rightarrow 50 x = 200 \Rightarrow x = 4$
So Required ratio is 44 + 8:56 - 8 = 13:12