Question

Determine the ratio of the present ages of Chintu to Danny if, 12 years ago, the ratio of Sunita's age to Binita's age was 9:5, and Sunita's age, 6 years from now, will be 35% more than Binita's age, 8 years from now. The average present age of Sunita and Chintu is 45 years, while the average present age of Binita and Danny is 44 years.

A 3:5 Correct Answer Incorrect Answer
B 3:4 Correct Answer Incorrect Answer
C 5:4 Correct Answer Incorrect Answer
D 3:1 Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

We can say that age of Sunita and Binita 12 years ago be 9a years and 5a years respectively. According to question; (9a + 18) = 1.35 × (5a + 20) 9a + 18 = 6.75a + 27 2.25a = 9 a = 4 Present age of Sunita and Binita is 48 years and 32 years respectively. So, present age of Chintu and Danny is 42 years and 56 years respectively So, desired ratio = 42:56 = 3:4

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