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Problems: 1. The present age of A is 15 years more than B. If the sum of their present ages is 45 years, what is the present age of B? 2. A father is currently 4 times as old as his son. In 20 years, the father will be twice as old as his son. What is the son's present age? 3. The ratio of the ages of P and Q is 5:7. If the difference between their present ages is 12 years, what is the age of Q? 4. Five years ago, the sum of the ages of A and B was 28 years. If A is 12 years older than B, how old is B now? 5. If a father was 30 years old when his son was born, and the son is now 15 years old, what is the ratio of the father's current age to the son's current age? 6. The current age of a mother is thrice that of her daughter. In 12 years, her age will be double that of her daughter. What is the daughter's current age? 7. If the average age of three brothers is 18 years and their ages are in the ratio 2:3:4, what is the age of the eldest brother? 8. A silver coin is 28 years older than a bronze coin. In 6 years, the silver coin will be twice as old as the bronze coin. What is the current age of the bronze coin? 9. The sum of the present ages of A and B is 32 years. Four years ago, A was twice as old as B. How old is A now? 10. One-half of Heather's age two years from now plus one-third of her age three years ago is 20 years. How old is she now? 11. Ram's present age is thrice his son's age and 2/5 of his father's age. The average present age of all three is 46 years. What is the difference between the ages of Ram's father and Ram's son? 12. Four years ago, the ratio of ages of A and B was 3:5. Ten years from now, the ratio will be 5:6. What is the sum of their present ages? 13. A man is 36 years old and his daughter is 3 years old. In how many years will the man be 4 times as old as his daughter? 14. Vikram says: 'I was as old as you are today when you were born.' If Vikram is 46 years old today, what was his daughter's age 4 years ago? 15. The ages of three daughters are 6, 3, and 1. In how many years will the combined ages of the daughters equal 80% of their 40-year-old father's age? 16. A sofa is 12 years old and a table is 36 years old. In how many years will the table be twice as old as the sofa? 17. The product of the ages of Dora and Phil is 243. Phil is 3 times as old as Dora. How old is Phil? 18. Liz is 2 years older than Ronald. The product of their ages is 440. What is Ronald's age? 19. Six years ago, David's mother was 13 times as old as David. Now she is only 4 times as old as David. How old is David now? 20. A mathematician said: 'I'll be x years old in the year x^2 .' Given that the year 2006 falls within her lifetime, in what year was she born? 21. A teacher said: 'Ten years ago, my age was equal to the square of my daughter's age. In 14 years, I will be twice as old as my daughter.' What is the teacher's current age? 22. The ages of Ina, Mina, and Mo are in a ratio of 4:6:7. Combined, the girls are 102 years old. What is Mina's age? 23. Five years ago, the average age of A,B, and C was 25. Now, D joins the group, and the average becomes 28. What is D's current age? 24. The difference in age between Brita and her daughter Eva is 30 years. The sum of their ages is 118. How old is Eva? Welcome to RK Eduworld Classic! I’m Raj Krishna Choudhary, and this channel is dedicated to Engineering Mathematics and Aptitude (Reasoning) for competitive exams and university students. The Engineering Mathematics content is aligned with the Amity University Applied Mathematics syllabus, making it especially helpful for B.Tech and engineering students. On this channel, you will find clear and simple explanations of important topics such as Calculus (Limits, Continuity, Differentiation, Integration), Differential Equations, Matrices and Determinants, Linear Algebra, Vector Calculus, Laplace Transform, Probability, and Complex Numbers. Every concept is explained step-by-step to build strong fundamentals. For Aptitude and Reasoning preparation, I cover all major topics including Problems on Ages, Time and Work, Time, Speed and Distance, Percentages, Profit and Loss, Ratio and Proportion, Mixtures and Alligation, Simple and Compound Interest, Number System, Simplification, Partnership, Averages, Pipes and Cisterns, Boats and Streams, Probability, Permutation and Combination, Data Interpretation, Logical Reasoning, Blood Relations, Coding-Decoding, Direction Sense, Series, Syllogism, and Puzzle-based questions. This channel is useful for students preparing for JEE, NDA, BITSAT, KEAM, SSC, Banking exams, and other competitive examinations, as well as for engineering semester exams. You’ll find: • Engineering Mathematics for B.Tech • Applied Mathematics for Amity University • Aptitude and Reasoning practice #EngineeringMathematics #AppliedMathematics #Aptitude #Reasoning #CompetitiveExams #JEEPreparation #SSCPreparation #BankingExams #MathsForEngineers #BTechMaths