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 age of father E years ago was thrice the age of his son. F years hence, father’s age will be twice that of his son. The ratio of their present ages is 7:3. Find the value of E and F?

  1. E= 10, F=10

  2. E= 20, F=10

  3. E= 10, F=20

  4. E= 15, F=10

  5. E= 10, F=15
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 7x and 3x. E years ago: (7x - E) = 3(3x - E). F years hence: (7x + F) = 2(3x + F). Solving yields E = F = 10. Substitute back: 2x = 10, x = 5. Present ages: 35 and 21, ratio 7:3. Verify: 25 years ago, 10 and 6 (ratio 3:1). 10 years hence, 45 and 22.5 (ratio 2:1).

Multiple choice

The present age of Rahul is 7 times of present age of Varun, who is (\frac{1}{3}) times of present age of Divya. The present age of Divya’s husband is (\frac{5}{4}) times of present age of Divya. Find the sum of present age of Divya and Varun if difference between present age of Rahul and Divya’s husband is 26 years.

  1. 40 years

  2. 36 years

  3. 24 years

  4. 32 years

  5. 44 years
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Divya's age = x. Then Varun = x/3, Rahul = 7(x/3) = 7x/3, Divya's husband = 5x/4. Given: 7x/3 - 5x/4 = 26. Solving: (28x - 15x)/12 = 26, so 13x/12 = 26, giving x = 24. Sum of Divya and Varun = 24 + 24/3 = 24 + 8 = 32 years.

Multiple choice

Ratio of the present age of a mother to that of the daughter is 7 ∶ 1. After 5 years the ratio will become 4 ∶ 1. What is the difference (in years) in their present ages?

  1. 30

  2. 31

  3. 29

  4. 28
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Let present ages be 7x and x. After 5 years: (7x+5)/(x+5) = 4/1. Solving: 7x+5 = 4x+20, so 3x = 15, giving x = 5. Present ages are 35 and 5, so difference = 30 years. Alternatively, using ratio properties: the difference of 6 parts (7-1) remains constant, so 6 parts = 30, meaning 1 part = 5.

Multiple choice

The average ages of Kishore, his wife and their child 6 years ago was 38 years and that of his wife and their child 8 years ago was 32 years. Find the present age of Kishore.

  1. 40 years

  2. 52 years

  3. 32 years

  4. 36 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

6 years ago, average age of Kishore, wife, and child was 38 years, so their sum was 114 years. Presently, their sum is 114 + 18 = 132 years (adding 6 years for each of the 3 people). 8 years ago, wife and child's average was 32 years, so their sum was 64 years. Presently, their sum is 64 + 16 = 80 years (adding 8 years for each of the 2 people). Therefore, Kishore's present age = 132 - 80 = 52 years.

Multiple choice

Mr. Shyam was two times as old as his son 8 years ago. Their total age is 76 years now. How old (in years) is Mr. Shyam now?

  1. 36

  2. 48

  3. 30

  4. 40
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let son's current age be S, Shyam's current age be F. 8 years ago: son was S-8, Shyam was F-8. At that time, Shyam was twice as old: F-8 = 2(S-8), so F-8 = 2S-16, thus F = 2S-8. Currently: F + S = 76. Substituting: 2S-8 + S = 76, so 3S = 84, S = 28. Therefore F = 76 - 28 = 48. Shyam is currently 48 years old.

Multiple choice

Present ages of P and Q are in the ratio 5: 6 respectively. Sixteen years later, this ratio becomes 7: 8. What is the respective ratio of age of P 10 years ago to the age of Q 8 years ago?

  1. 4: 5

  2. 3: 4

  3. 5: 7

  4. 2: 3

  5. 3: 5
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let P=5x and Q=6x be present ages. After 16 years: (5x+16)/(6x+16)=7/8. Cross-multiply: 40x+128=42x+112. Solving gives 2x=16, so x=8. Present ages: P=40, Q=48. P 10 years ago=30, Q 8 years ago=40. Ratio=30:40=3:4. Option B is correct.

Multiple choice

The respective ratio between present age of Aanchal and Bhavna is 3: 11. Bhavna is 12 years younger to Chhavi. Chhavi’s age after 7 years will be 85 years. What is the present age of Aanchal’s father who is 25 years older than Aanchal? आंचल और भावना की वर्तमान आयु के बीच अनुपात 3: 11 है । भावना छवि से 12 वर्ष छोटी है। 7 वर्ष बाद छवि की आयु 85 वर्ष होगी। आंचल के पिता की वर्तमान उम्र क्या है जो आंचल से 25 वर्ष बड़े है?

  1. 43 years / वर्ष

  2. 67 years / वर्ष

  3. 45 years / वर्ष

  4. 69 years / वर्ष

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

Chhavi after 7 years = 85, so present age = 85 - 7 = 78. Bhavna = 78 - 12 = 66. Aanchal:Bhavna = 3:11, so Aanchal = (3/11) × 66 = 18. Aanchal's father = 18 + 25 = 43. Work backwards from future age to find each person's present age.

Multiple choice

15 years before A's age was 9/2of B's If the ratio of their present ages is 12 : 5, What is the average of their present ages ? 15 वर्ष पूर्व A की आयु ,B की आयु की 9/2 थी , यदि वर्तमान में दोनों की आयु में 12 : 5 का अनुपात हो , उनकी वर्तमान आयु का औसत क्या है ?

  1. 40.2

  2. 42.5

  3. 45.1

  4. 46.8

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

Let present ages be 12x and 5x. 15 years ago: A was 12x-15, B was 5x-15. Given: 12x-15 = (9/2)(5x-15). Solving: 24x-30 = 45x-135, 21x = 105, x = 5. Present ages: 60 and 25. Average = (60+25)/2 = 42.5.

Multiple choice

Seven years ago, the ratio of the ages of A and B was (4 \colon 5). Eight years hence, the ratio of the ages of A and B will be (9 \colon 10). What is the sum of their present ages in years?

  1. 32 years

  2. 41 years

  3. 56 years

  4. 82 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let present ages be A and B. Seven years ago: (A-7)/(B-7) = 4/5, so 5A - 35 = 4B - 28, giving 5A - 4B = 7. In eight years: (A+8)/(B+8) = 9/10, so 10A + 80 = 9B + 72, giving 10A - 9B = -8. Solving: A = 19, B = 22, so sum = 41 years.

Multiple choice

Gautam’s present age is equal to 20% of his father's age 15 years ago, and Gaurav's (brother of Gautam) present age is 60% of his father’s age 10 years ago. If the sum of Gautam’s present age and Gaurav’s present age is 31, then find their father’s present age.

  1. 40 years

  2. 50 years

  3. 55 years

  4. 45 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let father's present age be F. Gautam's age = 0.2(F-15) and Gaurav's age = 0.6(F-10). Their sum is 31, so 0.2(F-15) + 0.6(F-10) = 31. Solving: 0.2F - 3 + 0.6F - 6 = 31, so 0.8F - 9 = 31, giving 0.8F = 40 and F = 50. The father's present age is 50 years.

Multiple choice

Mahesh is eighteen years older than Ranjeet. The respective ratio of Mahesh’s age six years hence & Vikas’s present age is 3:2. If the present age of Vikas is twice the age of Ranjeet, what was Mahesh’s age two years ago? महेश रंजीत से अठारह वर्ष बड़ा हैं । महेश की छह वर्ष पश्चात आयु विकास की वर्तमान आयु का अनुपात 3:2 है । यदि विकास की वर्तमान आयु रंजीत की आयु की दुगुनी हो तो दो वर्ष पहले महेश की उम्र क्या थी?

  1. 24 years 24 वर्ष

  2. 18 years 18 वर्ष

  3. 28 years 28 वर्ष

  4. 26 years 26 वर्ष

  5. 16 years 16 वर्ष
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let Ranjeet's age = x. Mahesh = x + 18. Vikas = 2x. Given (Mahesh + 6): Vikas = 3:2, so (x + 18 + 6)/2x = 3/2. This gives 2(x + 24) = 6x, so x + 24 = 3x, 2x = 24, x = 12. Mahesh's present age = 12 + 18 = 30. Two years ago, Mahesh was 30 - 2 = 28 years old.

Multiple choice

The present age of Ramesh is 7 years more than the present age of his wife Sangeeta. 6 years hence, the age of Ramesh will be three times that of his son Mayank. If the present age of Mayank is 10 years, then what is the present age of Sangeeta?

  1. 48 years

  2. 35 years

  3. 42 years

  4. 30 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Mayank's present age is 10. In 6 years, Mayank will be 16. At that time, Ramesh's age will be 3 × 16 = 48. So Ramesh's present age is 48 − 6 = 42. Ramesh is 7 years older than Sangeeta, so Sangeeta's present age is 42 − 7 = 35. Option A (48) is Ramesh's future age, not Sangeeta's present age. Option C (42) is Ramesh's present age, not Sangeeta's.