Problems on Ages
- 1. The ratio between the present ages of Indira and Lizzy is 3 : 8, respectively. After 8 yr, Indira's age will be 20 yr. What was Lizzy's age 5 yr ago
Options- A. 37 yr
- B. 27 yr
- C. 28 yr
- D. 38 yr Discuss
Correct Answer: 27 yr
Explanation:
Let present ages of indira and Lizzy are 3k yr and 8k yr, respectively.
? 3k + 8 = 20 ? 3k = 12
? k = 4
Hence, Lizzy's required age = 8k - 5
= 32 - 5
= 27 yr
- 2. 7 yr ago, the ages of A and B were in the ratio 4 : 5 and 7 yr hence, they will be in the ratio 5 : 6. The present age of B is?
Options- A. 56 yr
- B. 63 yr
- C. 70 yr
- D. 77 yr Discuss
Correct Answer: 77 yr
Explanation:
Let 7 yr ago, ages of A and B 4k yr and 5k yr, respectively.
Then, present age of A = 4k + 7
and present age of B = 5k + 7
Now, according to the question,
? (4k + 7 + 7) / (5k + 7 + 7) = 5/6
? 24k + 84 = 25k + 70
? k = 14
Hence, B's present age = 5 x 14 + 7 = 77 yr
- 3. At present, Kavita is twice Sarita's age. 8 yr hence, the respective ratio between Kavita's and Sarita's ages will be 22 : 13. What is Kavita 's present age?
Options- A. 26 yr
- B. 18 yr
- C. 42 yr
- D. 36 yr Discuss
Correct Answer: 36 yr
Explanation:
Let Sarita;s present age = k yr
Then, Kavita's present age = 2k yr
According to the question,
(2k + 8) / (k + 8) = 22/13
? 26k + 104 = 22k + 176
? 4k = 72
? k = 18
Hence, Kavita's age = 2 x 18 = 36 yr
- 4. 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
Correct Answer: 6
Explanation:
According to the question,
(36 + n) / (50 + n) = 3/4
? 144 + 4n = 150 + 3n
? n = 6
- 5. 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
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
- 6. 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
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.
- 7. 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
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
- 8. 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
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
- 9. 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 Discuss
Correct Answer: 35 years
Explanation:
Let 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
- 10. 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
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
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