Problems on Ages
- 1. The ratio between present ages of Renuka and Sony is 5 : 4 . 4 years ago, Sony's age was 24 years. What will be Renuka's age after 5 years ?
Options- A. 25
- B. 30
- C. 35
- D. 40 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 40
Explanation:
Present age of Sony = 24 + 4 = 28 years
After 5 years Renuka's age = 7×5 + 5 = 40 years
- 2. The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ?
Options- A. 2 yrs
- B. 4 yrs
- C. 3 yrs
- D. 5 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 2 yrs
Explanation:
29 x 2 = 58
20 x 3 = 60
-----------
2 years
Therefore, the age of child is 2 years.
- 3. The age of X is 2/3 rd that of Y. After 6 years X will be 46 years old. the present age of Y is?
Options- A. 40
- B. 56
- C. 60
- D. 100 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 60
Explanation:
X= 2/3Y
=> Y= 3/2X
Aage of X after 6 years = 46 years
So present age of X = 46-6 = 40 years
Now, present age of Y = 3/2 * 40 = 60 years.
- 4. Ram is 20 years younger than Shyam. 5 years ago, the ratio of their age was 3:5. The sum of their present age is
Options- A. 75 years
- B. 80 years
- C. 90 years
- D. 95 years Also asked in: Bank Exams
Correct Answer: 90 years
- 5. The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?
Options- A. 6
- B. 4
- C. 8
- D. 10 Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
Let the age of Manisha and Sudeshna is 5x and 6x years respectively.
According to the given data,
5x+8/6x+8 = 7/8
42x + 56 = 40x + 64
x = 4
Required Difference of their ages = (6 × 4) ? (5 × 4)
= 4 years.
- 6. In a joint family, there are 24 members whose age is decreased by 4 months, when one girl aged 24 years is replaced by a new boy. Find the age of the new boy ?
Options- A. 18 years
- B. 12 years
- C. 15 years
- D. 16 years Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 16 years
Explanation:
Age of new boy = (Age of moved girl) ? (Number of family members × Decreased in average)
= 24 ? 24×4/12
= 24 ? 8
= 16 years.
- 7. Sweety is 54 years old and her mother is 80. How many years ago was Sweety's mother three times her age?
Options- A. 20
- B. 41
- C. 26
- D. 33 Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 41
Explanation:
Given P = 54 and M = 80
According to the question,
Let ?A? years ago, M = 3P
=> M - A/P - A = 3
=> 80 - A = 3(54 - A)
=> 80 - A = 162 - 3A
=> 2A = 82
=> A = 41
Therefore, A = 41 years ago Sweety?s mother was 3 times of Sweety?s age.
Hence, at the age S = 13 and M = 39.
- 8. Avanthi?s age is 1/6th of her father?s age. Her father?s age will be twice of Kapil?s age after 10 years. If Kapil?s eighth birthday was celebrated two years ago, then what is Avanthi?s present age ?
Options- A. 6 years
- B. 4 years
- C. 7 years
- D. None Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Analyst, Bank Clerk, Bank PO
Correct Answer: None
Explanation:
As given Kapil's 8th birthday was celebrated 2 years ago,
Kapil?s present age = 8 + 2 = 10 years.
Father's age is twice of Kapil?s age after 10 years.
=> F + 10 = 2 (K + 10) = 2 (10+ 10)
F = 30years,
Avanthi's age =1/6(F) = 30/6 = 5 years.
- 9. Sony is one-fifth the age of her mother 15 years ago and Sony?s brother is three-fifth the age of his mother 10 years ago. If the sum of Sony and her brother?s ages is 31 then how old is Sony's mother ?
Options- A. 40
- B. 50
- C. 60
- D. 70 Also asked in: AIEEE, Bank Exams, CAT, GATE, Analyst, Bank Clerk, Bank PO
Correct Answer: 50
Explanation:
Sony and her brother's age sum is 31
Let Sony's mother's age be 'x'.
Now the conditions given for both of their ages related to their mom is
1/5(x-15) + 3/5(x-10) = 31
x-15 + 3x-30 = 155
4x-45 = 155
4x = 200
x = 50
So, Mother's age = 50.
Cross verification : 15 years ago age = 35 => Sony age = 7
10 years ago age = 40 => bro age = 24
Sum = 24 + 7 = 31.
- 10. The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?
Options- A. 12.24 yrs
- B. 13.25 yrs
- C. 16 yrs
- D. 15.25 yrs Also asked in: AIEEE, Bank Exams, CAT, GATE, GRE, Bank Clerk, Bank PO
Correct Answer: 15.25 yrs
Explanation:
Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.
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