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

Eight years ago from present, A was four times as old as B. After 8 years from present, A will be twice as old as B. Find their present age.

  1. 42, 16

  2. 45, 18

  3. 42, 18

  4. 40, 16
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let present ages be A and B. Eight years ago: A-8 = 4(B-8), giving A = 4B - 24. After eight years: A+8 = 2(B+8), giving A = 2B + 8. Equating: 4B - 24 = 2B + 8, so 2B = 32, B = 16. Then A = 2(16) + 8 = 40. Present ages: 40, 16. Option A has wrong B value. Options B and C have incorrect values.

Multiple choice

Amit’s present age is 1.5 times of Hari’s present age. After 4 years, Amit’s age will be twice of Hari’s age 4 years ago. What is the sum of present ages of Amit and Hari?

  1. 52 years

  2. 64 years

  3. 72 years

  4. 60 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Hari's present age = H. Then Amit's = 1.5H. After 4 years: A + 4 = 2(H - 4). Substituting: 1.5H + 4 = 2H - 8 → 12 = 0.5H → H = 24. Amit = 1.5 × 24 = 36. Sum = 24 + 36 = 60 years. Option D is correct.

Multiple choice

Present age of Ram is 50% more than Sohan’s present age while 5 years ago Ram’s age was twice than that of Sohan’s age at that time. Five years hence, sum of ages of Sohan and Ram is equal to Veer’s age at that time, then find present age of Veer ?

  1. 45

  2. 30

  3. 55

  4. 29

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

Let Sohan's present age = S, then Ram's present age = 1.5S (50% more). Five years ago: Ram was 1.5S - 5 and Sohan was S - 5. Given: 1.5S - 5 = 2(S - 5). Solving: 1.5S - 5 = 2S - 10, so 0.5S = 5, S = 10. Then Ram = 15. Five years hence: Sohan = 15, Ram = 20, sum = 35 = Veer's age. Present Veer = 30.

Multiple choice

B’s age is 10 years older than A. If the ratio of B’s age 11 years hence and C’s present age is 3 : 2. At present C’s age is thrice A’s age. What will be the age of C after 11 years?

  1. 18 years

  2. 23 years

  3. 28 years

  4. 25 years

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

Let A's age = a. Then B = a+10. Given: (B+11)/C = 3/2, so C = 2(B+11)/3 = 2(a+21)/3. Also: C = 3a. So 3a = 2(a+21)/3, 9a = 2a+42, 7a = 42, a = 6. Then C = 18. After 11 years, C = 29. None of the options match 29.

Multiple choice

The present age of Rohit and Virat are in ratio of 9 : 8 respectively. After 10 years the ratio of their ages will be 10 : 9. What is the difference in their present age ? रोहित और विराट की वर्तमान आयु क्रमशः 9:8 के अनुपात में है। 10 वर्ष बाद उनकी आयु का अनुपात 10:9 होगा। उनकी वर्तमान आयु में कितना अंतर है?

  1. 14 years 14 वर्ष

  2. 12 years 12 वर्ष

  3. 15 years 15 वर्ष

  4. 10 years 10 वर्ष

  5. none of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Rohit's present age = 9x and Virat's present age = 8x. After 10 years: (9x + 10)/(8x + 10) = 10/9. Cross-multiply: 9(9x + 10) = 10(8x + 10), so 81x + 90 = 80x + 100, giving x = 10. Present ages: Rohit = 9 * 10 = 90, Virat = 8 * 10 = 80. Difference = 90 - 80 = 10 years. This matches option D.

Multiple choice

The ratio of the present ages of A and B is (7 : 5). After seven years, the ratio of their ages will be (21 : 16). C is five years older than A. What will be the age of C after five years?

  1. 35 years

  2. 43 years

  3. 38 years

  4. 40 years

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

Let A=7x, B=5x. After 7 years: (7x+7)/(5x+7)=21/16. Cross-multiply: 16(7x+7)=21(5x+7), giving 112x+112=105x+147, so 7x=35 and x=5. A=35, B=25. C is 5 years older than A, so C=40. After 5 years, C will be 45. None of A-D match 45, so E is correct.

Multiple choice

4 years hence, the ratio of ages A and B will be 5 : 7 and 6 years hence, the ratio of ages will be 11 : 15, then find their present ages.

  1. 20 years, 26 years

  2. 16 years, 24 years

  3. 12 years, 28 years

  4. 12 years, 18 years

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

Let present ages be A and B. From the given ratios: (A+4)/(B+4)=5/7 gives 7A-5B=-8, and (A+6)/(B+6)=11/15 gives 15A-11B=-24. Solving these simultaneous equations yields A=16 years and B=24 years. Option A (20,26) would give ratios 6:8=3:4 after 4 years, not 5:7.

Multiple choice

The sum of age of Ram and Shyam, 6 years ago is 82 years. Shyam’s age 14 years ago is equal to the present age of Ram. Then find age of Ram after 4 years?

  1. 42 yrs

  2. 44 yrs

  3. 46 yrs

  4. 48 yrs

  5. 50 yrs
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Ram's present age = R, Shyam's present age = S. 6 years ago: (R-6)+(S-6)=82, so R+S=94. Also: S-14=R (Shyam's age 14 years ago equals Ram's present age). Substituting: (R+14)+R=94, 2R=80, R=40. Ram's age after 4 years = 40+4=44 years. Option B is correct.

Multiple choice

Ratio between age of A and B four year ago was (9: 10) and ratio between both age four year hence will be (13: 14). What was the sum of both ages 10 year ago?

  1. 50 years

  2. 48 years

  3. 32 years

  4. 28 years

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

Let A and B be present ages. Four years ago: (A-4)/(B-4) = 9/10, giving 10A - 40 = 9B - 36, so 10A = 9B + 4. Four years hence: (A+4)/(B+4) = 13/14, giving 14A + 56 = 13B + 52, so 14A - 13B = -4. Solving: A = 22 years, B = 24 years. Sum 10 years ago = (22-10) + (24-10) = 26 years, which matches 'None of these'.

Multiple choice

Sandeep’s age seven years ago was equal to twice of Shubham’s age one year ago. Seraj is 10 years older than Shubham. If the ratio of the present age of Sandeep to that of Seraj is 5: 4, then what is the present age of Shubham? सात वर्ष पूर्व संदीप की आयु एक वर्ष पूर्व शुभम की आयु के दोगुने के बराबर थी। सेराज शुभम से 10 साल बड़ा है। यदि संदीप की वर्तमान आयु का सेराज की वर्तमान आयु से अनुपात 5:4 है, तो शुभम की वर्तमान आयु क्या है?

  1. 16

  2. 14

  3. 10

  4. 12

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Shubham's present age be x. From the given conditions: Sandeep's age 7 years ago = 2 × Shubham's age 1 year ago, so Sandeep = 2x + 5. Seraj is 10 years older than Shubham, so Seraj = x + 10. The ratio Sandeep:Seraj = 5:4 gives (2x+5)/(x+10) = 5/4. Solving: 8x + 20 = 5x + 50, so 3x = 30 and x = 10. Shubham is 10 years old.

Multiple choice

The ratio of the present ages of two Friends is 2 : 3 and six years back, the ratio was 1 : 3. What will be the ratio of their ages after 10 years ?. दो दोस्तों की वर्तमान आयु का अनुपात 2:3 है और छह साल पहले अनुपात 1:3 था। 10 साल बाद उनकी उम्र का अनुपात क्या होगा?

  1. 8 : 11

  2. 9:11

  3. 6 : 7

  4. 3: 5

  5. None of these इनमें से कोई नहीं
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be 2x and 3x. Six years ago: (2x-6)/(3x-6) = 1/3. Cross-multiplying: 3(2x-6) = 3x-6, giving 6x-18 = 3x-6, so 3x = 12 and x = 4. Present ages are 8 and 12. After 10 years: 18 and 22, ratio = 18:22 = 9:11.

Multiple choice

10 years ago, the average age of a family of five members was 38 years. Now, two new members join, whose age difference is 8 years. If the present average age of the family is the same as it was 10 years ago, what is the age (in years) of the new younger member? 10 साल पहले, पांच सदस्यों के एक परिवार की औसत आयु 38 वर्ष थी। अब, दो नए सदस्य जुड़ते हैं, जिनकी आयु का अंतर 8 वर्ष है। यदि परिवार की वर्तमान औसत आयु वही है जो 10 वर्ष पहले थी, तो नए युवा सदस्य की आयु (वर्षों में) क्या है?

  1. 15

  2. 9

  3. 10

  4. 17

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

10 years ago, family of 5 had average age 38, so total age was 190. Now (10 years later), those 5 members are 10 years older each, so their total increased by 50 to 240. Let new members be x and x+8 years old. New family has 7 members with average 38, so total age = 7×38 = 266. Therefore 240 + x + (x+8) = 266, giving 2x + 248 = 266, so 2x = 18, x = 9 years. Option A (15) would require the younger member to be 15. Option C (10) doesn't satisfy the average.

Multiple choice

The ratio of the present ages of A and B is 8 : 9. After 9 years, the ratio will become 19 : 21. C is 3 years younger to B. What is the present age (In years) of C ? A और B की वर्तमान आयु का अनुपात 8:9 है। 9 वर्षों के बाद, अनुपात 19:21 हो जाएगा। C, B से 3 वर्ष छोटा है। C की वर्तमान आयु (वर्षों में) क्या है?

  1. 49

  2. 48

  3. 51

  4. 52

  5. 54
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let A's present age = 8x, B's present age = 9x. After 9 years: (8x+9)/(9x+9) = 19/21. Cross-multiplying: 21(8x+9) = 19(9x+9), 168x + 189 = 171x + 171, 18 = 3x, x = 6. A's age = 8×6 = 48, B's age = 9×6 = 54. C is 3 years younger than B, so C's age = 54 - 3 = 51 years. Option C is correct.

Multiple choice

Five years ago, P was three times as old as Q and ten years later, P shall be twice as old as Q. What are the present age of P and Q(in years)?

  1. 45, 30

  2. 30, 40

  3. 50, 20

  4. 50, 30
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let P and Q be present ages. Five years ago: P - 5 = 3(Q - 5) → P - 5 = 3Q - 15 → P = 3Q - 10. Ten years later: P + 10 = 2(Q + 10) → P + 10 = 2Q + 20 → P = 2Q + 10. Equating: 3Q - 10 = 2Q + 10 → Q = 20. Then P = 3(20) - 10 = 50. Present ages: P = 50, Q = 20.

Multiple choice

The average age of husband, wife and child 7 years ago was 42 years and that of wife and child 9 years ago was 36 years. The present age of the husband is :

  1. 50

  2. 55

  3. 48

  4. 57
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

7 years ago, total age of husband + wife + child = 42 × 3 = 126. So present total = 126 + 21 = 147. 9 years ago, wife + child total = 36 × 2 = 72. So present total of wife + child = 72 + 18 = 90. Husband's present age = 147 − 90 = 57 years.