Problems on Ages
- 1. The ratio of the present age of Manoj to that of Wasim is 3 : 11. Wasim is 12 yr younger than Rehana. Rehana's age after 7 yr will be 85 yr. What is the present age of Manoj's father, who is 25 yr older than Manoj?
Options- A. 43 yr
- B. 67 yr
- C. 45 yr
- D. 69 yr Discuss
Correct Answer: 43 yr
Explanation:
Let the present ages of Manoj and Wasim are 3k yr and 11k yr, respectively.
According to the question ,
11k = 85 - 7 - 12
? 11k = 66
? k = 6
? Present age of Manoj = 3 x 6 = 18 yr
Hence, present age of Manoj's father = 18 + 25 = 43 yr
- 2. The average age of a family of five member is 24. If the present age of the youngest member is 8 yr, what was the average age of the family at the time of the birth of the youngest member?
Options- A. 20 yr
- B. 16 yr
- C. 12 yr
- D. 18 yr Discuss
Correct Answer: 20 yr
Explanation:
? Total age of five members of a family = 24 x 5 = 120
? Total age of four members at the time of birth of youngest = 120 - 8 x 5
= 120 - 40 = 80 yr
Hence, required average age = 80/4 = 20 yr
- 3. Four years ago, shyam's age was 3/4 times of that of Ram. Four year hence, Shyam's age will be 5/6 times that of Ram. What is the present age of Shyam?
Options- A. 15 yr
- B. 20 yr
- C. 16 yr
- D. 24 yr Discuss
Correct Answer: 16 yr
Explanation:
4 yr ago, let Ram's age = k yr and Shyam's age = 3k/4 yr
Now, Ram's present age = (k + 4) yr
and Shyam's present age = (3k/4 + 4) yr
According to the question, 5/6(k + 4 + 4) = (3k/4 + 4 + 4)
? 4 (5k + 40) = 6(3k + 32)
? 20k + 160 = 18k + 192
? 2k = 32
? k = 16
Hence, present age of Shyam = (3/4) x 16 + 4 = 16 yr
- 4. At the present, Palash is three times Arnav's age. After 7 yr, Palash will be twice Arnav's age, then how many times will Palash's age be in another 14 yr time with respect to Arnav's age then?
Options- A. 1
- B. 3
- C. 2
- D. 1.5 Discuss
Correct Answer: 1
Explanation:
Let Arnav's age = k yr
Then, Palash's age = 3k yr
Acoording to the question, 3k + 7 = 2(k + 7)
? 3k + 7 = 2k + 14
? k = 7
? Age of Arnav after 14 yr = 7 + 14 = 21 yr
and Palash's present age = 21 yr
Hence, Palash's age is one time of Arnav's age .
- 5. The average age of a man and his son is 27 yr. The ratio of their ages is 8 : 1, respectively. What will be the son's age after 6 yr?
Options- A. 6 yr
- B. 14 yr
- C. 12 yr
- D. 8 yr Discuss
Correct Answer: 12 yr
Explanation:
Let ages of man and his son are 8k yr and k yr, respectively .
According to the question,
(8k + k)/2 = 27
? k = (27 x 2)/9 = 6
Hence, age of son after 6 yr = 6 + 6 = 12 yr
- 6. Ravi's brother is 3 yr elder to him. His father was 28 yr of age when his sister was born, while his mother was 26 yr of age when he was born. If his sister was 4 yr of age when his brother was born, the ages of Ravi's father and mother respectively when his brother was born were?
Options- A. 32 yr and 23 yr
- B. 32 yr and 29 yr
- C. 35 yr and 29 yr
- D. 35 yr and 33 yr Discuss
Correct Answer: 32 yr and 23 yr
Explanation:
When Ravi was born, his mother's age was 26 yr and his elder brother was 3 yr elder to him.
? Mother's age when brother was born
= 26 - 3 = 23 yr
Ravi's father was 28 yr of age when his sister was born and his sister was 4 yr of age when his brother was born
? Age of father when brother was born
= 28 + 4 = 32 yr
- 7. The ratio of ages of Mohan and Sohan is 3 : 4. Four years ago the ratio was 5 : 7. Find the present ages of Mohan and Sohan.
Options- A. 24 years, 32 years
- B. 20 year, 30 years
- C. 25 years, 30 years
- D. None of these Discuss
Correct Answer: 24 years, 32 years
Explanation:
Let us assume the present ages of Mohan and Sohan be 3x years and 4x years; then,
4 Four years ago the ages was 3x - 4 and 4x - 4 years.
According to question, 4 Four years ago the ratio was 5 : 7
( 3x - 4 ) / ( 4x - 4 ) = 5/7
? ( 3x - 4 ) 7 = 5 ( 4x - 4 )
? 21x - 28 = 20x - 20
? 21x - 20x = 28 - 20
? x = 8
Hence, their present ages, 3x = 3 x 8 = 24 years; 4x = 4 x 8 = 32 years.
So their present ages 24 and 32 years.
- 8. The average age of 36 students in a group is 14 years. When the teacher's age is included in it, the average increases by one. The teacher's age in years is
Options- A. 31
- B. 51
- C. 36
- D. 54 Discuss
Correct Answer: 51
- 9. The average age of 80 boys in a class is 15. The average age of group of 15 boys in the class is 16 and the average of another 25 boys in the class is 14. What is the average age of the remaining boys in the class ?
Options- A. 12.24 yrs
- B. 13.25 yrs
- C. 16 yrs
- D. 15.25 yrs Discuss
Correct Answer: 15.25 yrs
Explanation:
Total ages of 80 boys = 15 x 80 = 1200 yrs.
Total age of 16 boys = 15 x 16 = 240 yrs
Total age of 25 boys = 14 x 25 = 350 yrs.
Average age of remaining boys = 1200 - (240+350) / 80 - (25+15) = 610/41 = 15.25 yrs.
- 10. A father said his son , " I was as old as you are at present at the time of your birth. " If the father age is 38 now, the son age 5 years back was :
Options- A. 14
- B. 19
- C. 33
- D. 38 Discuss
Correct Answer: 14
Explanation:
Let the son's present age be x years .Then, (38 - x) = x => x= 19.
Son's age 5 years back = (19 - 5) = 14 years
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