Problems on Ages
- 1. Proportion of Yuvaraj?s age to Ganguly?s age is 4:3. Yuvaraj willl be 26 years old after 6 years. What is the age of Ganguly now ?
Options- A. 17 years
- B. 15 years
- C. 19 years
- D. 12 years Discuss
Correct Answer: 15 years
Explanation:
Current ages of Yuvaraj = 4A and Ganguly = 3A
So that 4A + 6 = 26
A = 5
Current age of Ganguly = 3A
=> 3 x 5 = 15 years
- 2. Rajeev's age after 15 years will be 5 times his age 5 years back. What is the present age of rajeev?
Options- A. 12
- B. 14
- C. 22
- D. 10 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 10
Explanation:
Let Rajeev's present age be x years.
Rajeev's age after 15 years = (x + 15) years.
Rajeev's age 5 years back = (x - 5) years
Then ATQ,
x + 15 = 5 (x - 5)
x + 15 = 5x - 25
=> x = 10
Hence, Rajeev's present age = x = 10 years.
- 3. The age of a person is thrice the total ages of his 2 daughters. 0.5 decades hence, his age will be twice of the total ages of his daughters. Then what is the father?s current age? [0.5 Decades = 5 Years]
Options- A. 35 years
- B. 40 years
- C. 45 years
- D. 47 years Discuss
Correct Answer: 45 years
Explanation:
Let, Total of current ages of the 2 daughters is A years.
Then, father?s current age = 3A years.
(3A + 5) = 2 (A +10)
3A + 5 = 2A + 20
A = 15
Therefore, father?s current age = 45 years.
- 4. 8 years ago Rama's mother was five times older than her daughter. After 8 years the mother will be twice older than her daughter. Find the present age of Rama?
Options- A. 10 years
- B. 20/3 years
- C. 50/3 years
- D. 40/3 years Discuss
Correct Answer: 40/3 years
Explanation:
Let Rama's age 8 years ago be x years and mother's age 8 years ago be 5x 2(x+16) = 5x+16 2x+32 = 5x=16 3x = 16 x = 16/3 Hence, present age of Rama = x+8 = (16/3)+8 = 40/3 years
- 5. When I was 24, my mother was twice my age. Now I am 44, how old is my mother?
Options- A. 84
- B. 48
- C. 68
- D. 88 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 68
Explanation:
From the given data,
when my age is 24, my mothers age is double of my age
=> 48 yrs is my mothers age
=> Difference is 48 - 24 = 24 years.
When my age is 44
=> My mother is 44 + 24 = 68 years aged.
- 6. A man?s current age is 25 of the age of his father. After 8 years, he will be 12 of the age of his father. What is the age of father at now ?
Options- A. 50
- B. 40
- C. 33
- D. 30 Discuss
Correct Answer: 40
Explanation:
Let, father?s current age is A years.
Then, Man?s current age =
years.
+8=
2(2A+40) = 5(A+8)
A = 40
- 7. 0.1 decates ago, Vijaya was quadrice as old as her daughter Simran. 0.6 decades hence, Vijaya?s age will beat her daughter?s age by 0.9 decades. The proportion of the current ages of Vijaya and Simran is : [ 0.1 Decates =1 Year; quadrice = 4 times]
Options- A. 8:1
- B. 10:2
- C. 11:4
- D. 13:4 Discuss
Correct Answer: 13:4
Explanation:
Let, Ages of Vijaya and Simran ? 1 year ago was 4A and A years correspondingly.
Then, [(4A + 1) + 6] ? [(A + 1) + 6] = 9
3A = 9 => A = 3
Needed Ratio = (4A + 1) : (A + 1) = 13 : 4
- 8. Sum of the ages of Rajesh, Suresh, Mahesh and Dinesh is 76 years. 7 years hence, their age ratio is 7:6:5:8. Find Mahesh?s present age ?
Options- A. 17 years
- B. 13 years
- C. 14 years
- D. 16 years Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 13 years
Explanation:
Given R + S + M + D = 76
=> R+7 : S+7 : M+7 : D+7 = 7:6:5:8
=> Let the ratio = x
=> M+7 = 5x
=> M = 5x-7
=> R = 7x-7
=> S = 6x-7
=> D = 8x-7
=> R + S + M + D = 76
=> 7x-7 + 6x-7 + 5x-7 + 8x-7 = 76
=> 26x - 28 = 76
=> 26x = 104
=> x = 4
=> Mahesh's present age = 5x-7 = 20 - 7 = 13 years.
- 9. Four person A, B, C and D. The sum of their present age is 176. Four years ago ratio of their age was 11: 9 : 6 : 14, then find who is eldest and youngest among them ?
Options- A. A is eldest & C is youngest
- B. D is eldest & C is youngest
- C. C is eldest & A is youngest
- D. A is eldest & B is youngest Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: D is eldest & C is youngest
Explanation:
Given sum of present ages of A, B, C & D
A + B + C + D = 176
and also given that,
(A-4) : (B-4) : (C-4) : (D-4) = 11 : 9 : 6 : 14
Let the ratio = x
=> A-4 + B-4 + C-4 + D-4 = 11x + 9x + 6x + 14x
=> (A + B + C + D ) - 16 = 40x
=> 176 - 16 = 40x
=> x = 4
=> A = 44 + 4 = 48
=> B = 40
=> C = 28
=> D = 60
Therefore, from the above conclusions
D is eldest with 60 years and C is youngest with 28 years of ages.
- 10. Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is ?
Options- A. 30
- B. 32
- C. 38
- D. None Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 38
Explanation:
Let Raju's age at the time of his marriage = X years
Then from given data
=> X + 8 = 6/5 X
X = 40.
Since got married 8 years ago, his present age = 48
His sister is 10 years younger => 48 - 10 = 38 years.
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