Problems on Ages
- 1. A mother is 5 times older than her daughter. After 5 years, she would be 3 times older than her daughter. Find the mother's present age.
Options- A. 20 years
- B. 22 years
- C. 25 years
- D. 29 years Also asked in: Bank Exams
Correct Answer: 25 years
Explanation:
- 2. The sum of ages of 4 children born at intervals of 4 years each is 60. What is the age of the youngest child?
Options- A. 7
- B. 9
- C. 10
- D. 12 Also asked in: Bank Exams
Correct Answer: 9
Explanation:
- 3. Nikhil is 8 years younger than his brother Rohan. How old will Rohan be when he is twice as old as Nikhil?
Options- A. 4 years
- B. 6 years
- C. 8 years
- D. 16 years Discuss
Correct Answer: 16 years
Explanation:
Suppose, the age of Nikhil is 1 year.
Nikhil is 8 years younger than his brother Rohan.
Therefore, age of Rohan = 1 + 8 = 9 years
After 7 years ,
Nikhil will be 8 years old and Rohan will be 16 years old.
- 4. The sum of present age of father and his son is 60 years. 6 years ago, father's age was 5 times the age of the son. After 6 years, son's age will be :
Options- A. 45
- B. 25
- C. 20
- D. 33 Also asked in: Bank Exams
Correct Answer: 20
Explanation:
- 5. The ages of Samir and Saurabh are in the ratio of 8 : 15 respectively . After 9 years the ratio of their ages will be 11 : 18. What is the difference between their ages in years?
Options- A. 20 years
- B. 21 years
- C. 22 years
- D. 24 years Discuss
Correct Answer: 21 years
Explanation:
Let the present ages of Samir and Saurabh are 8a and 15a years respectively ; .
After 9 years the ages of Samir and Saurabh will be 8a + 9 and 15a + 9.
According to question,
After 9 years the ratio of their ages will be 11 : 18, then
(8a + 9)/ = 11/18
? (8x + 9) x 18 = 11 x (15a + 9)
? 144a + 162 = 165a + 99
? 21a = 63
? a = 3
Hence, difference of their ages = 15a - 8a = 7a = 7 x 3 = 21 years
- 6. The ratio of the present ages of Suresh and his daughter is 2 : 1. Six years hence, the ratio of their ages would be 23 : 13. Find the present age of Suresh?
Options- A. 35 years
- B. 40 years
- C. 45 years
- D. 50 years Discuss
Correct Answer: 40 years
Explanation:
Let the present ages of Suresh and his daughter be 2x and x years respectively; then
According to question,
Six years hence, the ratio of their ages would be 23 : 13
(2x + 6) / (x + 6) = 23/13
? (2x + 6) 13 = 23 (x + 6)
? 26x + 78 = 23x + 138
? 3x = 60
? x = 20
Hence, present age of Suresh = 2 x 10 = 40 years
- 7. The present age of father is 34 years more than that of his son. 12 years ago, father's age was 18 times the age of his son. The present age of son in years is :
Options- A. 12 years
- B. 14 years
- C. 16 years
- D. 18 years Discuss
Correct Answer: 14 years
Explanation:
Let us assume the present ages of son be Y then his father present age will be Y + 34 years. then
12 years ago, father's age = Y + 34 -12
12 years ago, Son's age = Y - 12
Now according to question,
12 years ago, father's age was 18 times the age of his son. then
18( Y - 12 ) = Y + 34 - 12
? 18Y - 216 = Y + 22
? 17Y = 238
? Y = 14
Hence, present age of his son = 14 years.
- 8. The ratio of the ages of two persons is 4 : 7 and age of then is more than other by 30 years. The sum of their ages in years is:
Options- A. 100
- B. 110
- C. 120
- D. 130 Discuss
Correct Answer: 110
Explanation:
Let the present ages of two person be 4x and 7x years respectively; then according to question,
7x = 30 + 4x
? 3x = 30
? x = 10
Hence, sum of their ages = 4x + 7x = 11x = 11 x 10 = 110 years
- 9. A father is older than his first son by 30 years, the first son is older than the second son by 10 years. If the sum of their ages be 95 years, find the age of father.
Options- A. 45 years
- B. 50 years
- C. 55 years
- D. 65 years Discuss
Correct Answer: 55 years
Explanation:
Let us assume the age of second son be Y, then age of first son will be Y + 10 and age of father will be (Y + 10 + 30) years respectively;
then according to question,
sum of their ages be 95 years.
x + x + 10 + x + 10 + 30 = 95
? 3x = 95 - 50
? 3x = 45
? x = 15
age of the father = x + 10 + 30
Hence, age of the father = 15 + 10 + 30 = 55 years.
- 10. The present age of Deepak is 3 time the present age of his son. Five years hence, the ratio of their ages will be 34 :13 respectively. The present age of Deepak is :
Options- A. 58 years
- B. 60 years
- C. 63 years
- D. 68 years Discuss
Correct Answer: 63 years
Explanation:
Let us assume the present age of son be x then present of Deepak be 3x.
Five years hence, the ratio of their ages will be 34 : 13 respectively.
then according to question,
(3x + 5)/(x + 5) = 34/13
? (3x + 5) 13 = 34 (x + 5)
? 39x + 65 = 34x + 170
? 5x = 105
? x = 21
Hence, present age of Deepak = 3x = 3 x 21 = 63
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