Question

Seven years ago, 'R' and 'C' had ages in a ratio of 4:3, respectively. After seventeen years, the ratio of 'C' and 'R's ages will be 9:10, respectively. Calculate the difference in the ages of 'R' and 'C'.

A 15 yrs Correct Answer Incorrect Answer
B 12 yrs Correct Answer Incorrect Answer
C 4 yrs Correct Answer Incorrect Answer
D 6 yrs Correct Answer Incorrect Answer
E none of these Correct Answer Incorrect Answer

Solution

Let the ages of 'R' and 'C' seven years ago be 4a years and 3a years, respectively. So according to question: (4a + 7 + 17)/(3a + 7 + 17) = 10/9 36a + 216 = 30a + 240 6a = 24 a = 4 So, the difference between the ages of 'R' and 'C' = 4 years

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