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

Average age of Gupta family is 33.75 years. Mr. Gupta has only two sons (A and B), where A is 25 years younger than his father. Mr. Gupta's wife is 21 years older than her elder son. If A is older than B and average of their ages is 20.5 years, then 3 years hence, what will be the ratio between the ages of B and Mr. Gupta?

  1. 5 : 13

  2. 4 : 9

  3. 3 : 7

  4. 7 : 3

  5. 9 : 17
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Average age of 4 family members = 33.75, so sum = 135. A = F - 25. Wife = ElderSon + 21. Average of A and B = 20.5, so A+B = 41. Solving these equations with the family sum leads to specific ages. 3 years hence, the ratio is calculated.

Multiple choice

Eight years ago, Poorvi's age was equal to the sum of the present ages of her one son and one daughter. Five years hence, the ratio of the ages of her daughter and her son that time will be 7 : 6, respectively. If Poorvi's husband is 7 years elder to her and his present age is three times the present age of their son, then what is the present age of the daughter?

  1. 15 years

  2. 23 years

  3. 19 years

  4. 27 years

  5. 13 years
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let P, S, and D be the present ages of Poorvi, son, and daughter. From the first condition, P-8 = S+D. From the second, (D+5)/(S+5) = 7/6, so 6D+30 = 7S+35, or 6D-7S = 5. Given the husband is P+7 and P+7 = 3S, we have P = 3S-7. Substituting P into the first equation: (3S-7)-8 = S+D, so 2S-D = 15. Solving the system 6D-7S = 5 and 2S-D = 15 yields D = 23.