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- Question
- 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
- Correct Answer
- 12 years and 44 years
ExplanationSuppose 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 . - 1. 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
- 2. 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
- 3. 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
- 4. 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 Discuss
- 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
- 6. The average weight of 8 persons of a family is increased by 1 kg when one of the members whose weight is 60 kg is replaced by a new person. The weight of the new person (in kg) is
Options- A. 61
- B. 68
- C. 62
- D. None of the above Discuss
- 7. The average age of three friends A, B, C is 20 years. The average age of A and B is 19 years. What is the age of C?
Options- A. 20 years
- B. 21 years
- C. 22 years
- D. 24 years Discuss
- 8. The sum of the ages of a father and a son presently is 70 years. After 10 years the son's age is exactly half that of the father's. What are their ages now?
Options- A. 45 years, 25 years
- B. 50 years, 20 years
- C. 47 years, 23 years
- D. 50 years, 25 years Discuss
- 9. A father tells his son, "I was 3 times of your present age when you were born." If the father's present age is 48 years, how old was the boy 4 years ago?
Options- A. 24 years
- B. 8 years
- C. 12 years
- D. 16 years Discuss
- 10. The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years ago was 20 years. The present age of husband is
Options- A. 40 years
- B. 50 years
- C. 45 years
- D. 35 years Discuss
Problems on Ages
Search Results
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
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
Correct Answer: 35 years
Explanation:
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 .
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 .
Correct Answer: 68
Explanation:
Here , n = 8 , Weight of replaced person = 60 kg and increase in Average = 1 kg
Using formula ,
? Weight of new person = Weight of replaced person + n × increase in Average
Weight of new person = 60 + 8 × 1 = 68 kg
Correct Answer: 22 years
Explanation:
Given that :- The average age of three friends A, B, C = 20 years.
Total age of three friends A, B, C = 3 x 20 = 60 years.
The average age of A and B = 19 years.
Total age of of A and B = 2 x 19 = 38 years.
? Age of C = Total age of three friends A , B and C - Total age of of A and B
Age of C = 60 ? 38 = 22 years
Correct Answer: 50 years, 20 years
Explanation:
Suppose the present age of son = P years
The present age of father = Q years
P + Q = 70 ...(i)
According to question, 2(P + 10) = Q + 10
? 2P + 20 = Q + 10
? 2P ? Q = ?10 ....(ii)
From equations (i) and (ii) , we get
3P = 70 ? 10 = 60 ? P = 20 years
? Q = 70 ? 20 = 50 years
Correct Answer: 8 years
Explanation:
Suppose that son's age before 4 years = P
Present age of the son = P + 4
At son's birth father's age = 3(P + 4) = 3P + 12
The father's present age = (3P +12) + (P + 4) = 48
? 4P = 48 years ? 16 = 32
? P = 8 years
Therefore, 4 years ago the boy was = 12 ? 4 = 8 years
Correct Answer: 40 years
Explanation:
The average age of husband, wife and their child 3 years ago = 27 years
Total age of husband, wife and their child 3 years ago = 27 × 3 = 81 years
The average age of wife and the child 5 years ago = 20 years
Total age of wife and child five years ago was 20× 2 = 40 years
? Total age of wife and child 3 years ago
= 40 + (2 × 2)
= 40 + 4 = 44 years
? Age of husband three years ago = Total age of husband, wife and their child 3 years ago - Total age of wife and child 3 years ago
Age of husband three years ago = 81 ? 44 = 37 years
Therefore, the present age of husband = 37 + 3 = 40 years
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