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

After two years, Navya will be 22 years old. The ratio of her age and her father's age will be 1 : 2 after five years. If two years ago, the ratio of her age and her mother's age was 1 : 2, then what is the difference of her father's and mother's current ages?

  1. 6 years

  2. 7 years

  3. 9 years

  4. 11 years

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

Navya + 2 = 22, so Navya = 20. Navya + 5 = 25. Father + 5 = 2 * 25 = 50. Father = 45. Navya - 2 = 18. Mother - 2 = 2 * 18 = 36. Mother = 38. Difference = 45 - 38 = 7.

Multiple choice

A's age is half the age of his brother. 5 years from now, the difference between the ages of the two brothers will be only 3 years. Find the current age of A's brother.

  1. 5 years

  2. 6 years

  3. 7 years

  4. None of the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A's current age be x and his brother's be 2x. In 5 years, A will be x+5 and his brother will be 2x+5. The difference in ages is (2x+5) - (x+5) = x. The problem states the difference is 3 years, so x = 3. The brother's current age is 2x = 6.

Multiple choice

Directions: In the following question, you have to find out which of the following statements is/are sufficient to find the answer. The ratio of the ages of A and B 8 years from now will be 8 : 7. What is the ratio of the present ages of A and B? I. Sum of the present ages of A and B is 44. II. A is 4 years older than B. III. Product of their ages 8 years before was 192.

  1. Only I

  2. Only I and III

  3. Only I and II

  4. Any one statement

  5. Any two statements
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the present ages be A and B. The ratio (A+8)/(B+8) = 8/7 implies 7A + 56 = 8B + 64, or 7A - 8B = 8. Statement I (A+B=44) provides a second equation, allowing us to solve for A and B. Statement II (A=B+4) also provides a second equation. Statement III (A-8)(B-8)=192 provides a quadratic relation that can also be solved. Since any one of these statements provides a unique solution, any one is sufficient.

Multiple choice

11 years ago, the ratio of the ages of Eliana and her daughter was 30 : 1. The present age of Eliana's Son is 4 years more than the present age of Eliana's daughter. 10 years ago, the age of Eliana's husband was 5/2th of the present age of Eliana's daughter. If the average of the present age of all four persons is 27.25 years, then find the age of Eliana's husband after 11 years.

  1. 51 years

  2. 53 years

  3. 49 years

  4. 62 years

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

Let E and D be present ages. 11 years ago: (E-11)/(D-11) = 30/1. E-11 = 30D - 330 => E = 30D - 319. Average of 4 people (E, D, S, H) = 27.25 => E+D+S+H = 109. S = D+4. H-10 = 2.5D => H = 2.5D + 10. Substitute: (30D-319) + D + (D+4) + (2.5D+10) = 109. 34.5D - 305 = 109 => 34.5D = 414 => D = 12. E = 30(12)-319 = 41. H = 2.5(12)+10 = 40. Age of husband after 11 years = 40 + 11 = 51.

Multiple choice

7 years ago, the ratio of the age of Kusum and Pooja was 4 : 5. 5 years ago, the age of Priyanka was 10 years less than the present age of Pooja. 4 years ago, the age of Neha was 5/8th of the present age of Pooja. The present age of lovely is 7/9th of the present age of Priyanka. If the average of the present ages of Kusum, Pooja, Priyanka, Neha and Lovely is 26.2 years, then the present age of Priyanka is

  1. 24 yrs

  2. 25 yrs

  3. 27 yrs

  4. 28 yrs

  5. 32 yrs
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let P be Pooja's present age. Kusum = 4/5(P-7)+7. Priyanka = P-5+10 = P+5. Neha = 5/8*P. Lovely = 7/9*(P+5). Average = (K+P+Pri+N+L)/5 = 26.2. Solving for P gives 22, then Priyanka = 27.