Practice Questions
Concept Explanation
Age problems use ratios that change over time. If A:B = 3:5 now, after t years add t to each part.
After t years: (3k + t) : (5k + t).
Set up equations from sum of ages, difference, or future/past ratio conditions.
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Q1 Easy
Ages of A and B are in ratio 3 : 5. If sum is 48, A's age is:
Explanation3k + 5k = 48 → k = 6. A = 18. -
Q2 Easy
Present ages ratio 4 : 7. Sum 55. Older person's age:
Explanation11k = 55 → k = 5. Older = 35. -
Q3 Medium
Ratio 5 : 3, difference 12. Ages are:
Explanation2k = 12 → k = 6. Ages 30 and 18. -
Q4 Hard
Father:son = 7 : 2. After 5 years ratio 4 : 1. Son's present age:
Explanation7k+5 / 2k+5 = 4/1 → k = 5. Son = 10. -
Q5 Hard
Ages 2 : 3. Five years ago ratio 3 : 5. Present ages:
Explanation2k-5 / 3k-5 = 3/5 → k = 6. Ages 12, 18. -
Q6 Easy
Sum of ages ratio 3:4 is 63. Younger age:
Explanation7k = 63 → k = 9. Younger = 27. -
Q7 Hard
Present ratio 5:6. After 8 years ratio 6:7. Present sum of ages:
Explanation(5k+8)/(6k+8)=6/7 → k=8. Present sum = 11k = 88.
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Q8 Easy
Ages in ratio 2 : 3. Sum is 40. Older person:
Explanation2k+3k=40 → k=8. Older=24. -
Q9 Medium
Mother:daughter = 11 : 3. Difference 32. Daughter's age:
Explanation8k=32 → k=4. Daughter=12. -
Q10 Easy
Three persons ages ratio 2:3:4. Sum 54. Middle age:
Explanation9k=54 → k=6. Middle=18. -
Q11 Easy
A is twice B's age. Sum 36. B is:
Explanation2B+B=36 → B=12. -
Q12 Hard
Ratio 7:9, after 6 years becomes 11:13. Present ages sum:
Explanation7k+6/9k+6=11/13 → k=4. Sum=64. -
Q13 Medium
Father 40, son 10. After how many years ratio 3:1?
Explanation(40+t)/(10+t)=3 → t=5. -
Q14 Hard
Ages 5:7. Ten years ago sum was 28. Present sum:
Explanation5k-10+7k-10=28 → k=4. Present sum=48.
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DS1 Easy
What is A's present age?
Statement IA and B are in ratio 4 : 5.
Statement IISum of their ages is 54.
ExplanationA = 24, B = 30. -
DS2 Medium
What is the age difference?
Statement IPresent ratio is 7 : 9.
Statement IISum of ages is 80.
Explanation7k+9k=80 → k=5. Difference=10.
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DS3 Easy
What will the ratio be after 5 years?
Statement IPresent ages are 20 and 30.
Statement IIBoth ages increase by 5 years.
ExplanationAfter 5 years: 25:35 = 5:7. -
DS4 Hard
Is the older person above 40?
Statement IRatio of ages is 5 : 8.
Statement IISum of ages is 65.
ExplanationAges 25 and 40. Older is 40, not above 40.