Problems on Ages
- 1. The ratio of present ages of Hema and Chinnu is 13:17. Four years ago the ratio of their ages was 11:15. What will be the ratio of their ages six years hence ?
Options- A. 3 : 7
- B. 7 : 9
- C. 4 : 5
- D. 1 : 3 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 4 : 5
Explanation:
Let their present ages be 13x and 17x.
Then, 13x-4/17x-4 = 11/15.
Solving this, we get x = 2.
Required ratio = 13x2 + 6/17x2 + 6 = 32/40 = 4/5.
- 2. A woman says, "If you reverse my own age, the figures represent my husband's age. He is, of course, senior to me and the difference between our ages is one-eleventh of their sum." The woman's husband age is ?
Options- A. 45
- B. 24
- C. 42
- D. 54 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 54
Explanation:
By trial and error method from the given options,
as 54 - 45 = (1/11) x (45+54) = 99/11 = 9
Hence this satisfies the given conditions.
Then the woman's husband age is 54.
- 3. A is three times as old as B. C was twice-as old as A four years ago. In four years' time, A will be 31. What are the present ages of B and C ?
Options- A. 45, 10
- B. 10, 50
- C. 9, 50
- D. 50, 15 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk
Correct Answer: 9, 50
Explanation:
Let the age of A = A, B = B and C = C
From given
A = 3B
4 years ago,
C-4 = 2(A-4);
After 4 years
A + 4 = 31;
A = 27;
sub in above B, we get B = 9
C = 2(27 - 4) + 4 = 46 + 4 = 50
Hence B = 9yrs and C = 50yrs.
- 4. Ayush was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ayush who is 10 years old. At what age did the father get married ?
Options- A. 25 years
- B. 24 years
- C. 23 years
- D. 22 years Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 23 years
Explanation:
Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.
Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
- 5. Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ?
Options- A. 31 years
- B. 37 years
- C. 46 years
- D. 29 years Also asked in: GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk
Correct Answer: 31 years
Explanation:
Let the present age of Pinky be x years
Then the age of Mary is x - 12 years
After 3 years,
Ratio of
8x - 72 = 5x +15
=> 3x = 87
=> x = 29
=> Age of Pinky = 29 years
=> Age of Mary = 29 - 12 = 17 years
Present age of Sam = 29 + 17 = 46
Before 15 years Sam age = 46 - 15 = 31 years.
- 6. The twice of sum of the ages of a father and his son is 8 times the age of the son. If the average age of the father and the son is 30 years, what is father's age ?
Options- A. 42 yrs
- B. 45 yrs
- C. 36 yrs
- D. 38 yrs Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 45 yrs
Explanation:
Let father's age be x year and son's age be y year.
According to question,
2(x+y) = 8y _______(I)
and (x+y)/2 = 30
=> x+y = 60 years__________(II)
From equation (I) and (II)
8 y = 120
y = 15 years,
Hence x = 45 years.
- 7. The sum of the present ages of a father and his son is 70 years. Five years ago, father's age was 5 times the age of the son, so now the son's age will be?
Options- A. 12
- B. 14
- C. 15
- D. 19 Also asked in: TOEFL, GRE, GATE, CAT, Bank Exams, AIEEE, Bank PO, Bank Clerk, Analyst
Correct Answer: 15
Explanation:
Father Son
5years ago the age of the father & son 5X X
present the age of the father & son 5X+5 X+5
(present age of father) + (present age of son) = 70
(5x+5) + (x+5) = 70
Then you will get X = 10
Present age of the son (x+5) = 15
- 8. The difference between present ages of Ravali and Swarna is 9 years. After 7 years, Ravali?s age is twice of Swarna?s age. What will be Ravali?s age after 4 years?
Options- A. 15 yrs
- B. 16 yrs
- C. 20 yrs
- D. 21 yrs Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 15 yrs
Explanation:
Let the present age of Ravali = x
=> Swarna's present age = x - 9
From the given data,
x + 7 = 2(x - 9 + 7)
=> x = 11 yrs
Required Ravali's age after 4 years = 11 + 4 = 15 yrs.
- 9. The present ages of Pranay and Sai are in the ratio of 15 : 17 respectively. After 6 years, the respective ratio between the age of Pranay and Sai will be 9 : 10. What will be the age of Pranay after 6 years?
Options- A. 42
- B. 36
- C. 30
- D. 24 Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 36
Explanation:
Let present age of Pranay = 15p
That of Sai = 17p
ATQ,
15p + 6/17p + 6 = 9/10
=> 150p + 60 = 153p + 54
=> p = 2
Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.
- 10. Ten years ago, Karan was thrice as old as Shiva was but 10 years hence, he will be only twice as old. Find Shiva?s present age ?
Options- A. 70 years
- B. 30 years
- C. 60 years
- D. 40 years Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 30 years
Explanation:
Let Karan?s present age be x years and Shiva?s present age be y years.
Then, according to the first condition,
x - 10 = 3(y - 10) or x - 3y = - 20 ..(1)
Now, Karan?s age after 10 years = (x + 10) years
Shiva?s age after 10 years = (y + 10)
(x + 10) = 2 (y + 10) or x - 2y = 10 ..(2)
Solving (1) and (2), we get x = 70 and y = 30
Karan?s age = 70 years and Shiva?s age = 30 years.
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