Question
Five years ago, the ratio of the ages of a mother and her daughter was 7 : 2. Seven years from now, the ratio of their ages will be 2 : 1. What is the present age of the daughter?
Solution
Let their ages 5 years ago be 7x and 2x. So, present ages are: Mother = 7x + 5 Daughter = 2x + 5 After 7 years from now: Mother = 7x + 12 Daughter = 2x + 12 Given, (7x + 12) / (2x + 12) = 2 / 1 7x + 12 = 4x + 24 3x = 12 x = 4 Present age of daughter = 2x + 5 = 8 + 5 = 13 years Hence, the correct answer is 13 years.
More Age Questions
- The present average age of ‘X’ and ‘Y’ is 45 years, present average age of ‘X’ and ‘Z’ is 32 years and present average age of ‘Y’ and ‘Z’ is 9 years. Find ...
- Seema’s present age is 1(1/2) times of her marriage. She married 12 years ago. Now she has a daughter whose age is 2 more than one third of her age a...
- A boy’s age is 130% of what it was 10 years ago, but 65% of what it will be after 10 years. What is his present age?
- The present age of B is more than twice A’s present age by 4 years. The ratio of A’s age 6 years hence to B’s age 2 years hence will be 4:7. What is C’s pr...
- Currently, the average age of individuals 'A' and 'B' is 17 years, with 'A' being 2 years older than 'B'. The age of 'C' is 50% greater than that of 'A', a...
- The present ages of Tarun, Varun, and Arun are in the ratio 6:4:5. If Arun’s age after 6 years will be 36 years, find their current average age.
- The present ages of a mother and her daughter are in the ratio 5 : 2. Four years ago, their ages were in the ratio 3 : 1. What will be the mother’s age 6 y...
- The sum of present ages of ‘Rahul’ and ‘Sneha’ is 48 years. The present age of ‘Sneha’ is half the age of ‘Tanya’ 4 years hence. If the age of ‘Tanya’ 6 ye...
- 7 years ago, Meera’s age was equal to the Heena’s present age. The sum of Meera’s age 10 years from now and Heena’s age 5 yea...
- Four years ago, the ages of the father and his son were in the ratio 7:2. Four years hence, the ages of the father and his son will be in the ratio 9:4. Af...
