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- Question
- A mother is 25 years older than her daughter. Five years ago, the age of the mother was 6 time the age of the daughter. What is the present age of mother?
Options- A. 25 years
- B. 29 years
- C. 32 years
- D. 35 years
- Correct Answer
- 35 years
ExplanationLet the present ages of mother and her daughter are ( x + 25 ) and x years respectively ; then 6( x - 5 ) = x + 25 - 5 ? 6x - 30 = x + 20 ? 5x = 50 ? x = 10
Hence, the age of the mother = 10 + 25 = 35 years - 1. The present ages of Sunil and Anil are 40 and 60 years respectively. How many years ago was the ratio of their ages 3: 5?
Options- A. 5 years
- B. 10 years
- C. 12 years
- D. 15 years Discuss
- 2. 10 yr before, the ratio of ages of A and B was 13 : 17. After 17 yr from now, the ratio of their ages will be 10 : 11. The present age of B is
Options- A. 23 yr
- B. 40 yr
- C. 27 yr
- D. 44 yr Discuss
- 3. The age of a man after 15 yr is 4 times the age of that man 15 yr before. His present age is?
Options- A. 10 yr
- B. 15 yr
- C. 20 yr
- D. 25 yr Discuss
- 4. The difference between the ages of Meena and Seema is 3 yr and the ratio between their ages is 7 : 8. What is the sum of their ages?
Options- A. 43 yr
- B. 41 yr
- C. 45 yr
- D. 48 yr Discuss
- 5. The present ages of two persons are 36 and 50 yr, respectively. If after n yr the ratio of their ages will be 3 : 4, then the value of n is?
Options- A. 3
- B. 4
- C. 7
- D. 6 Discuss
- 6. 10 years ago, Chandravati's mother was 4 times older than her daughter. After 10 years, the mother will be twice older than the daughter. The present age of Chandravati is?
Options- A. 5 years
- B. 10 years
- C. 20 years
- D. 30 years Discuss
- 7. Pushpa is twice as old as Rita was two years ago. If the difference between their ages be 2 years, how old is pushpa today?
Options- A. 6 years
- B. 8 years
- C. 10 years
- D. 12 years Discuss
- 8. Five years ago Vinay's age was one-third of the age of Vikas and now Vinay's age is 17 years. What is the present age of Vikas?
Options- A. 9 years
- B. 36 years
- C. 41 years
- D. 51 years Discuss
- 9. The age of a man is 4 times that of his son. Five years ago, the man was nine times as old as his son was at that time. The present age of the man is?
Options- A. 24 years
- B. 32 years
- C. 40 years
- D. 44 years Discuss
- 10. The sum of the ages of a father and son is 45 years. Five years ago the product of their ages was 4 times the father's age at that time. the present ages of the father's and son respectively are?
Options- A. 25 years, 10 years
- B. 36 years, 9 years
- C. 39 years, 6 years
- D. None of these Discuss
Problems on Ages
Search Results
Correct Answer: 10 years
Explanation:
Let us assume x years ago, the ratio of their ages was 3 : 5, then
According to question,
(40 - x)/(60 - x) = 3/5
? (40 - x) 5 = 3 (60 - x)
? 200 - 5x = 180 - 3x
? 2x = 20
? x = 10 years
Correct Answer: 27 yr
Explanation:
Let the ages of A and B 10 yr before were 13k yr and 17k yr, respectively.
Then, present age of A = 13k + 10
and present age of B = 17k + 10
According to the question,
? (13k + 10 + 17) / (17k + 10 + 17) = 10/11
? (13k + 27) / (17k + 27) = 10/11
? 143k + 297 = 170k + 270
? 27k = 27
? k = 1
Hence, present age of B = 17 x 1 + 10 = 27 yr
Correct Answer: 25 yr
Explanation:
Let present age of man be k yr.
According to the question,
k + 15 = 4(k - 15)
? k - 15 = 4k - 60
? 3k = 75
? k = 25
Hence, the present age of man is 25 yr.
Correct Answer: 45 yr
Explanation:
Let the present of Meena and Seema are 7k yr and 8k yr, respectively.
? 8k - 7k = 3
? k = 3
Hence, required sum = 8k + 7k
= 15 x 3 = 45 yr
Correct Answer: 6
Explanation:
According to the question,
(36 + n) / (50 + n) = 3/4
? 144 + 4n = 150 + 3n
? n = 6
Correct Answer: 20 years
Explanation:
Let Chandravati's age 10 years ago be x years.
? mothere's age 10 years ago = 4x years
From Question 2(x + 20) = (4x + 20)
? x = 10
? Present age of Chandravati = (x + 10) = 20 years
Correct Answer: 8 years
Explanation:
Let Rita's age of 2 years ago be x years.
? Pushpa's present age = 2x years
? 2x - (x + 2) = 2
? x = 4
? Pushpa's present age = 8 years.
Correct Answer: 41 years
Explanation:
Let the present age of the Vikas be x years. Then,
17 - 5 = (x - 5)/3
? x - 5 = 36
? x = 41 years
Correct Answer: 32 years
Explanation:
Let the son's be x years, then father's age = 4x years
? (4x - 5) = 9(x - 5)
? 5x = 40
? x = 8
? Present age of the man = 32 years
Correct Answer: 36 years, 9 years
Explanation:
Let the present age of the father and son be x years and (45 - x)years respectively.
Then, (x - 5)(45 - x - 5) = 4(x - 5)
? -x2 + 41x - 180 = 0
? (x - 5)(x - 36) = 0
? x = 36
? The present ages of father and son are 36 years and 9 years respectively.
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