Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

The sum of the present ages of father and son is 80 years. 4 years ago, the ratio of their age was 2:1. Father's present age will be- पिता और पुत्र की वर्तमान आयु का योगफल 80 वर्ष है। 4 वर्ष पूर्व उनकी आयु का अनुपात 2 : 1 था। पिता की वर्तमान आयु होगी?

  1. 25 year / वर्ष

  2. 52 year / वर्ष

  3. 53 year / वर्ष

  4. 62 year / वर्ष
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's current age = F, son's current age = S. F + S = 80. Four years ago: (F-4)/(S-4) = 2/1, so F-4 = 2(S-4) = 2S-8. Therefore F = 2S-4. Substitute in F+S=80: (2S-4)+S=80, so 3S-4=80, 3S=84, S=28. Father = 80-28 = 52 years. Four years ago father was 48 and son was 24, ratio 48:24 = 2:1 ✓

Multiple choice

The respective ratio between the present ages of Rahul, Rohan and Rajesh is (3 : 4 : 5). If the average of their present ages is 28 years. Then what would be the sum of the ages of Rahul and Rohan together after 5 years ?

  1. 39

  2. 49

  3. 38

  4. 58

  5. 59
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Present ages ratio 3:4:5, average 28 years. Total age = 28×3 = 84. Rahul = (3/12)×84 = 21, Rohan = (4/12)×84 = 28. After 5 years: Rahul = 26, Rohan = 33. Sum = 26+33 = 59. Option E is correct.

Multiple choice

The ratio of the ages of Rahul and Naimish is (8 : 15) respectively. After 9 years the ratio of their ages become (11 : 18). Find the difference between their ages?

  1. 33 years

  2. 24 years

  3. 21 years

  4. 9 years

  5. Cannot be determined.
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let ages be 8x and 15x. After 9 years: (8x+9)/(15x+9) = 11/18. Cross-multiply: 144x + 162 = 165x + 99. Solving: 21x = 63, so x = 3. Current ages: 24 and 45. Difference = 45 - 24 = 21 years.

Multiple choice

The age of Rohan and Mohan are in the ratio of 7: 10 respectively. After 6 years the ratio of their age will be 17 : 23. What is the difference in their age?

  1. 8 years

  2. 10 years

  3. 6 years

  4. 4 years

  5. 12 years
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Let Rohan's age = 7x, Mohan's age = 10x. After 6 years: (7x + 6)/(10x + 6) = 17/23. Cross multiply: 23(7x + 6) = 17(10x + 6). This gives 161x + 138 = 170x + 102. So 138 - 102 = 170x - 161x, which means 36 = 9x, giving x = 4. Difference = 10x - 7x = 3x = 3 × 4 = 12 years.

Multiple choice

The average age of A and B is 45 years. The ratio of their age is 2 : 1 respectively. What is the B's age?

  1. 20 years

  2. 25 years

  3. 30 years

  4. 35 years

  5. 15 years
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The average age of A and B is 45 years, so their total age is 45 × 2 = 90 years. Given their age ratio is 2:1, let A's age be 2x and B's age be x. Then 2x + x = 90, which gives 3x = 90, so x = 30. Therefore, B's age is 30 years. Option A (20 years) is incorrect as it would make the total 60 years, not 90. Option B (25 years) would give a total of 75 years. Option D (35 years) for B would make A 70 years, totaling 105 years.

Multiple choice

The average age A,B,C,D five years ago was 45 years. By including x, the present average age of all the five is 49 years. The present age of x is- 5 वर्ष पहले A,B,C,D की औसत आयु 45 वर्ष थी यदि x को शामिल कर लिया जाय तो इन पांचों की वर्तमान औसत आयु 49 वर्ष हो जाती है। x की वर्तमान आयु है-

  1. 64 years/वर्ष

  2. 48 years/वर्ष

  3. 45 years/वर्ष

  4. 42 years/वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

5 years ago: average of A,B,C,D = 45, so their sum was 45×4 = 180. Present sum = 180 + (4×5) = 200. Including x: present average of 5 = 49, so sum = 49×5 = 245. Therefore x's age = 245 - 200 = 45 years. Answer C is correct.

Multiple choice

The ratio between the age of A and B is 3: 5 and if the age of one person is 14 years more than the other. Then 7 years ago, the sum of their ages was

  1. 32 years

  2. 42 years

  3. 38 years

  4. 48 years

  5. 56 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let current ages be 3x and 5x. Their difference is 2x = 14 years, so x = 7. Current ages: A = 21 years, B = 35 years. Seven years ago: A was 14 years, B was 28 years. Sum = 14 + 28 = 42 years. The distractor 48 years would come from incorrectly calculating 7 years ago from only one person's age.

Multiple choice

A teacher said to his student. "I was as old as you are at present at the time of your birth". If teacher's age is 38 years now, the student's age five years back was- एक अध्यापक ने अपने छात्र से कहा, मैं तुम्हारे जन्म पर तुम्हारी वर्तमान आयु के बराबर था। यदि अध्यापक की आयु 38 वर्ष है तो छात्र की आयु 5 वर्ष पहले क्या थी?

  1. 14 years/वर्ष

  2. 19 years/वर्ष

  3. 38 years/वर्ष

  4. 23 years/वर्ष
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let student's current age be x years. At student's birth, teacher's age was x (as stated). Current teacher age = 38 years. Time elapsed since student's birth = x years (since student is now x years old). Therefore, teacher's age at birth + x = teacher's current age, giving x + x = 38, so 2x = 38 and x = 19. Student's age 5 years back = 19 - 5 = 14 years. The distractor 19 years is the current age, not the age 5 years back.

Multiple choice

A father tells his son, "I was one year more than your present age when you were born. If the father is 37 year now, How Old was his son 5 year ago? एक पिता अपने पुत्र से कहता है ‘‘मै तुम्हारी वर्तमान आयु से एक वर्ष अधिक था जब तुम्हारा जन्म हुआ था। यदि पिता की वर्तमान आयु’’ 37 वर्ष है तो पाँच वर्ष पहले उसके पुत्र की आयु क्या थी?

  1. 18

  2. 13

  3. 15

  4. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's current age be x years. When the son was born (x years ago), the father's age was (x+1) years as stated. Father's current age would be (x+1) + x = 37 years. Solving: 2x + 1 = 37, so 2x = 36 and x = 18. The son is currently 18 years old, so 5 years ago, he was 18 - 5 = 13 years old. Option B (13) is correct. Options A, C, and D don't satisfy the given condition.

Multiple choice

The ratio of the age of a father to that of his son is 5 : 2. If the product of their ages in years is 1000, then the father's age (in years) after 10 years will be - एक पिता की आयु का उसके पुत्र की आयु से अनुपात 5 : 2 है । यदि उनकी आयुओं का वर्षो में गुणनफल 1000 हो, तो 10 वर्ष के उपरांत पिता की आयु (वर्षो में) होगी-

  1. 50

  2. 55

  3. 60

  4. 75
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let the father's age be 5x and the son's age be 2x. The product of their ages is 5x × 2x = 10x² = 1000, which gives x² = 100 and x = 10. So the father's current age is 5 × 10 = 50 years. After 10 years, the father's age will be 50 + 10 = 60 years. Option A (50) is the father's current age, not after 10 years.

Multiple choice

The ratio between the ages of A and B is 2:5. After 6 years, their ages will be in the ratio 1:2. What is the difference between their present ages? A और B की उम्रों के बीच का अनुपात 2 : 5 है। 6 वर्ष पश्चात् उनकी उम्रों का अनुपात 1 : 2 होगा। वर्तमान में उनकी उम्रों का अन्तर क्या है?

  1. 20 years/वर्ष

  2. 16 years/वर्ष

  3. 22 years/वर्ष

  4. 18 years/वर्ष
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the current ages be 2x and 5x. After 6 years, ages are 2x+6 and 5x+6 with ratio 1:2, so (2x+6)/(5x+6) = 1/2. Cross-multiplying gives 2(2x+6) = 5x+6, so 4x+12 = 5x+6, which means x = 6. Current ages are 12 and 30, so the difference is 18 years.

Multiple choice

The present ages of two girls are 36 and 50 years respectively If after n years the ratio of their ages will be 3 : 4, then the value of n is दो लड़कियों की वर्तमान आयु क्रमशः 36 और 50 वर्ष हैं | यदि n वर्षों बाद उनकी आयु का अनुपात 3 : 4 हो जाता है , तो n का मान है

  1. 3

  2. 4

  3. 6

  4. 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

After n years, ages will be (36+n) and (50+n). Given ratio is 3:4, so (36+n)/(50+n)=3/4. Cross-multiply: 4(36+n)=3(50+n). Solving gives 144+4n=150+3n, so n=6.

Multiple choice

The ratio of the present age of Randhir and Anurag is 14 : 13, the ratio of their ages 4 years ago was 12 : 11. Find the ratio between the age of Anurag and Randhir respectively after 4 years?
  1. $16 : 15$
  2. $15 : 16$
  3. $7 : 8$
  4. $8 : 7$

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 14x and 13x. Four years ago: (14x-4)/(13x-4) = 12/11. Solving gives 154x-44 = 156x-48, so 2x = 4 and x = 2. After 4 years, ages will be 32 and 30, giving ratio 16:15. This is a standard age ratio problem requiring algebraic setup.