Problems on Ages
- 1. Nisha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. The difference of ages of her parents is:
Options- A. 8 years
- B. 6 years
- C. 4 years
- D. 2 years Discuss
Correct Answer: 6 years
Explanation:
Le t us assume the present Nisha's age be P years.
Then Nisha's younger brother Age will be P - 4.
Then father present age = 38 + P
Mother present Age = 36 + P - 4 = 32 + P
According to question,
Difference in age of parents = Father age - Mother age
Difference in age of parents = 38 + P - (32 + P)
Difference in age of parents = 38 + P - 32 - P = 6 years.
- 2. Kamal is 5 times older than her sister Geeta, who is 2 years less than her brother Ram. If Ram is 8 years old, then what will be the age of Kamal?
Options- A. 30 years
- B. 24 years
- C. 40 years
- D. 28 years Discuss
Correct Answer: 30 years
Explanation:
Given that :- The age of Ram = 8 years.
The age of Geeta = Age of Ram - 2 years
The age of Geeta = age of Ram - 2 years = 8 ? 2 = 6 years.
According to question ,
? Age of Kamal = 5 x Age of Geeta
The age of Kamal = 6 × 5 = 30 years.
- 3. Your age is 10 years less than half your mother's age who is 5 years younger than your father. If your father is 45 years old, what is your age?
Options- A. 20 years
- B. 15 years
- C. 10 years
- D. 5 years Discuss
Correct Answer: 10 years
Explanation:
- 4. A man is 3 years older than his wife and four times as old as his son. If the son becomes 15 years old after 3 years, what is the present age of the wife?
Options- A. 60 years
- B. 51 years
- C. 48 years
- D. 45 years Discuss
Correct Answer: 45 years
Explanation:
Suppose the present age of son is P years.
Therefore, present age of the father = 4P years
According to question
The present age of son + 3 years = 15
? The present age of son ( P ) = 15 ? 3 = 12 years
The present age of father = 4P = 4 × 12 = 48 years
? The present age of man's wife = The present age of father - 3 = 48 ? 3 = 45 years
- 5. A father's age is one more than 5 times of his son's age. After 3 years, the father's age would be 2 less than four times the son's age. Find the present age of the father.
Options- A. 30 years
- B. 40 years
- C. 31 years
- D. 29 years Discuss
Correct Answer: 31 years
Explanation:
Suppose the age of son is P years
Therefore, the age of father will be 5P + 1
According to question ,
? 4( age of son + 3 ) ? 2 years = age of father + 3 years
? 4 ( P + 3 ) ? 2 = ( 5P + 1 ) + 3
? 4P + 12 ? 2 = 5P + 4
? 10 ? 4 = 5P ? 4P
? P = 6
Age of father = 5P + 1 = 5 × 6 + 1 = 31 years
Hence , the age of father is 31 years .
- 6. The average age of 19 boys in a class is 21 years. If the teacher's age is included, the average increases to 22 years. What is the teacher's age?
Options- A. 39 years
- B. 41 years
- C. 40 years
- D. 44 years Also asked in: Bank Exams
Correct Answer: 41 years
Explanation:
Given that :- The average age of 19 boys in a class = 21 years
Total age of 19 boys = 19 × 21 = 399 years
The average age of 19 boys and teacher = 22 years
Total age of 19 boys and teacher = 20 × 22 = 440 years
?Teacher's age = Total age of 19 boys and teacher - Total age of 19 boys
Teacher's age = 440 ? 399 = 41 years
Hence , the age of teacher is 41 years .
- 7. 10 years ago, average age of A and B was 20 years. Average age of A, B and C is 30 years today. How old C will be after 5 years?
Options- A. 20 years
- B. 30 years
- C. 35 years
- D. 55 years Discuss
Correct Answer: 35 years
Explanation:
- 8. At present a father's age is 30 years more than that of his only son. What was his age when the son was born?
Options- A. 40 years
- B. 30 years
- C. 35 years
- D. 25 years Discuss
Correct Answer: 30 years
Explanation:
Suppose the age of son at present = P years
? Present age of the father = Present age of son + 30 years
Present age of the father = P + 30 years
Age of father at the birth of his son = Present age of the father - Present age of son = ( P + 30 ) ? P = 30 years
- 9. Ravi is younger to his brother by 3 years. At the time of birth of his sister the age of his father was 28 years and that of his mother was 26 years. The age of his sister was 4 years at the time of birth of his brother. What was the age of his father at the time of the birth of Ravi?
Options- A. 31
- B. 35
- C. 29
- D. 30 Discuss
Correct Answer: 35
Explanation:
The age of sister of Ravi at the time of birth of Ravi's brother = 4 years
Ravi's sister is 4 + 3 = 7 years elder than Ravi.
The age of father at the time of birth of Ravi = 28 + 7 = 35 Years
- 10. The sum of the ages of a daughter and mother is 56 years. After 4 years, the age of the mother will be 3 times that of the daughter. Their respective ages are.
Options- A. 10 years and 46 years
- B. 12 years and 44 years
- C. 11 years and 45 years
- D. 13 years and 43 years Discuss
Correct Answer: 12 years and 44 years
Explanation:
Suppose the age of mother be P years and that of daughter's age be Q years.
According to question P + Q = 56 .........(i)
After 4 years, P + 4 = 3 (Q + 4) ? P + 4 = 3Q + 12 ? P ? 3Q = 8 ......(ii)
On solving equations (i) and (ii) , we get
Q = 12 years
? P = 56 ? 12 = 44 years
Hence , the age of mother is 44 years and her daughter's age is 12 years .
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