Problems on Ages
- 1. A person says that his son is 5 times as old as his daughter and his wife is 5 times older than his son and he is twice the age of his wife . The sum total of all the ages equals the age of the grand mother who celebrated her 81st birthday today. How old was his son?
Options- A. 50 yrs
- B. 25 yrs
- C. 72 yrs
- D. 40 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 50 yrs
Explanation:
Let the daughter age be 'x'
Therefore, Son age = 5x, Mother age = 25x, Person age = 50x.
Thus we get, x+5x+25x+50x = 81
81x = 81
x = 1
Daughter's age = 1, Son's = 5, Mother's = 25, Person's age = 50.
- 2. Eighteen years ago, a mother was three times as old as her daughter. Now the mother is only twice as old as her daughter. Then the sum of the present ages of daughter and the mother is ?
Options- A. 84 yrs
- B. 96 yrs
- C. 116 yrs
- D. 108 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 108 yrs
Explanation:
Let the present ages of the mother and daughter be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.
- 3. What is the age of Teja? A: Four years ago, Raju was as old as Teja is at present. B: Sita?s present age is two times of Raju?s present age. C: The average age of Teja and Sita is 19 years.
Options- A. Any two statements are sufficient to give answer
- B. Only C is sufficient
- C. All of three statements are necessary to give answer
- D. Even using all the three statements answer cannot be found Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: All of three statements are necessary to give answer
Explanation:
From the given statements A, B & C
Let the present age of Teja = P
Raju present age = P + 4
Sita's present age = 2(P + 4)
Average of ages of Sita & Teja = 19
=> (2P + 8 + P)/2 = 19
= 3P + 8 = 38
=> P = 30/3 = 10
Hence, the present age of Teja = P = 10 yrs.
Therefore, by using all the three statements A, B & C we can find the age of Teja.
- 4. 4 years ago, the ratio of 1/2 of Anita's age at that time and four times of Bablu's age at that time was 5 : 12. Eight years hence,1/2 of Anita's age at that time will be less than Bablu's age at that time by 2 years. What is Bablu's present age?
Options- A. 10 years
- B. 24 years
- C. 9 years
- D. 15 years Discuss
Correct Answer: 10 years
- 5. The ratio of present ages of Ramita and Satyajit is 9:7. After 9 years the ratio of their ages will be 5:4. What is Ramita's present age?
Options- A. 81
- B. 63
- C. 56
- D. 80 Also asked in: Bank Exams
Correct Answer: 81
- 6. The total age of A and B is 12 years more than the total age of B and C. C is how many years younger than A ?
Options- A. 12
- B. 13
- C. 14
- D. 15 Discuss
Correct Answer: 12
Explanation:
(A+B) - (B-C) = 12 <=> A - C = 12.
- 7. The average age of Vishal and Raghavendra is 24 years. If a new person Veerender is also included, the average age is increased by 1.5 years. What is the age of Veerender?
Options- A. 28.5 yrs
- B. 29.5 yrs
- C. 30.5 yrs
- D. 27 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 28.5 yrs
Explanation:
According to the given data,
(V + R)/2 = 24
Now, after joining of Veerender,
V + R + D)/3 = 25.5
Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.
- 8. Swetha when get married to Sudeer her age was 3/4 th of her husband's age. After 12 years her age became 5/6 th of her husband's age. Then what's the age of Swetha when she got married ?
Options- A. 18 years
- B. 21 years
- C. 23 years
- D. 17 years Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 18 years
Explanation:
At the time of marriage, let Sudeer's age be 4x, then Swetha's age is 3x
12 years after:
Age of Sudeer = 4x+12
Age of Swetha = 3x+12
Now the equation is 3x+12=5/6(4x+12)
Solving equation we get x=6
Hence Swetha got married at the age of 18.
- 9. Sushma joins a job at 20 yrs. First 3 years salary is 10,000 p.a. Afterwards every year increment of 2,000 per year for 10 years. Then salary becomes constant till retirement. At retirement average salary is 25,000. (throughout career). At what age Sushma retires ?
Options- A. 50 yrs
- B. 47 yrs
- C. 45 yrs
- D. 42 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 50 yrs
Explanation:
Let age of retirement = S
so according to the given condition 25000(x-20)
=10000 x 3 + 12000 + 14000 + 16000 + 18000 + 20000 + 22000 + 24000 + 26000 + 28000 + 30000 + 30000(S-33)
= 30000 + 210000 + 30000S-990000
= 30000S - 750000
or 25000S - 500000 = 30000x - 750000
or 5000x = 250000
or S = 50 yrs.
- 10. The ratio of K?s and M?s ages is 4: 5. If the difference between the present age of M and the age of K, 5 years hence is 3 years, then what is the difference and total of present ages of K and M?
Options- A. 8, 72 yrs
- B. 16, 65 yrs
- C. 12, 84 yrs
- D. 10, 60 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO, Database Administrator, IT Trainer
Correct Answer: 8, 72 yrs
Explanation:
Let the present ages be K,M
Given K/M = 4/5
5K - 4M = 0 ......(1)
Also given that,
M - (K + 5) = 3
M - K = 8 .........(2)
Then, by solving (1) & (2)
M = 40 yrs and K = 32 yrs
Hence, Total of ages = 40 + 32 = 72 yrs
Difference of ages = 40 - 32 = 8 yrs.
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