The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

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BANK PO Exam (UCO Bank) 2009 click here to view all questions

The ratio of the age of a father and son is 17 : 7 respectively. 6 years ago the ratio of their age was 3 : 1 respectively. What is the father's present age?

A64 yrs

B51 yrs

C48 yrs

DCannot be determined

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Correct answer is: 51 yrs Explanation: Let the present age of father and son be 17x years and 7x years respectively. According to the question, $\Large \frac{17x-6}{7x-6}=\frac{3}{1}$ $\implies 21x - 18 = 17x - 6$ $\implies 21x - 17x = 18 - 6$ $\implies 4x = 12$ $=> x = \frac{12}{4} = 3$ $\text{Therefore, Father's present age} = 17×3 = 51 \text{ years}$ Nithin ? answered Aug 14 '2022 at 15:52 All Comments

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