Question

Five years ago, the ages of the father and his son were in the ratio 7:2. Five years hence, the ages of the father and his son will be in the ratio 9:4. After how many years will the father's age be twice the age of his son?

Q: Answer-Five years ago, the ages of the father and his son were in the ratio 7:2. Five years hence, the ages...

Let the common ratio be x. Hence, five years ago, the ages of the father and his son were 7x and 2x years. According to the question, 7x55 2x 5 5 94 28Qx 40 18x 90 x 5 Present age Father 7x 5 7 x 5 5 40 Son 2x 5 2 x 5 5 15 After P years the fathers age will be twice the age of his son. According to the question, 40 P 2 x 15 P P 10