Quiz: Age Word Problems Practice Questions (set 1)

This quiz consists of questions based on age-related problems. These questions test your knowledge of converting word problems into equations and solving them to determine ages. The difficulty level of the questions ranges from moderate to high, as some involve solving quadratic equations. While many questions can be solved by examining the options, I recommend avoiding the option elimination approach to fully test your problem-solving skills. The purpose of this quiz is to assess your understanding of concepts related to equation solving. Please attempt the quiz without relying on external resources. If your answers are incorrect, you can retake the quiz and aim to get all the questions right. If you notice any errors in the questions or answers, feel free to leave a comment. Enjoy the quiz!

1. 
The current ages of two friends, A and B, are in the ratio of 3:5. Eight years ago, their ages were in the ratio of 1:2. What will their ages be in 10 years?

2. 
The sum of a man's age and the square of his son's age is 50. The difference between their ages is 20 years. How old are they?

3. 
A father is 6 times as old as his son, and the mother is 27 years old. In 6 years, the father's age will be twice the sum of the son's and mother's ages. How old is the son now?

4. 
The ages of three siblings form an arithmetic sequence. The sum of their ages is 39, and the difference between the oldest and youngest sibling is 12 years. How old is each sibling?

5. 
A grandmother is 10 times as old as her granddaughter. In 10 years, she will be only 5 times as old. How old are they now?

6. 
The product of two sisters' ages is 72, and the difference between their ages is 6 years. How old are they?

7. 
The ratio of Emma's age to her brother Liam's age is 5:3. In 4 years, the ratio will be 7:5. How old are Emma and Liam now?

8. 
The sum of the ages of three siblings, Alice, Bob, and Clara, is 51. Alice is twice as old as Bob, and Clara is 6 years older than Alice. How old are they?

9. 
The sum of two classmates' ages is 28. Two years ago, one of them was three times as old as the other. How old are they now?

10. 
The sum of the squares of two siblings' ages is 100. The sum of their ages is 14. How old are they?

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