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- Question
- The ratio of present ages of two brothers is 1 : 2 and 5 years ago the ratio was 1: 3. What will be the ratio of their ages after 5 years?
Options- A. 1 : 4
- B. 2 : 3
- C. 3 : 5
- D. 5 : 6
- Correct Answer
- 3 : 5
ExplanationLet us assume their present ages be x and 2x years; then
5 years ago ages of the brothers was x - 5 and 2x - 5 years.
According to question, 5 years ago the ratio was 1: 3
( x - 5)/(2x - 5) = 1/3
? 3x-15 = 2x -5
? x = 10
Hence, their present ages 10 years and 20 years.
Ages after 5 years will be 10 +5 and 20 + 5 Years
Required ratio = 10+5/20 + 5 = 15/25 = 3/5 = 3 : 5 - 1. 3 yr before, the average age of a family of 5 members was 17 yr. Due to birth of a new child, the average age is same today. The present age of child is?
Options- A. 1 yr
- B. 3 yr
- C. 21/2 yr
- D. 2 yr Discuss
- 2. The present age of Ravi's father is four times Ravi's present age.Five years back, Ravi's father was seven times as old as Ravi was at that time. What is the present age of Ravi's father?
Options- A. 84 yr
- B. 70 yr
- C. 40 yr
- D. 35 yr Discuss
- 3. The ages of Harsh and Sumit are 40 yr and 60 yr, respectively. How many year before the ratio of their ages was 3 : 5?
Options- A. 15 yr
- B. 20 yr
- C. 37 yr
- D. 10 yr Discuss
- 4. The ratio of the ages of Ram and Rahim 10 yr ago was 1 : 3 . The ratio of their ages five years hence will be 2 : 3. Then, the ratio of their present ages is?
Options- A. 1 : 2
- B. 3 : 5
- C. 3 : 4
- D. 2 : 5 Discuss
- 5. The ratio between the present ages of Tarun and Varun is 3 : 7, respectively. After 4 yr, Varun's age will be 39 yr. What was Tarun's age 4 yr ago?
Options- A. 12 yr
- B. 13 yr
- C. 19 yr
- D. 18 yr Discuss
- 6. If the two digits of the age of Mr. Manoj are reversed then the new age so obtained is the age of his wife. 1/11 of the sum of their ages is equal to the difference between their ages. If Mr. Manoj is elder than his wife then find the difference their ages?
Options- A. Cannot be determined
- B. 10 years
- C. 8 years
- D. 9 years Discuss
- 7. After five years the age of a father will be thrice the age of his son whereas five years ago, he was seven times as old as his son was. What is father's present age?
Options- A. 35 years
- B. 40 years
- C. 45 years
- D. 50 years Discuss
- 8. The age of arvind's father is 4 times of his age. If 5 years ago, father's age was 7 times of the age of his son at that time. What is arvind's father's present age?
Options- A. 35 years
- B. 40 years
- C. 70 years
- D. 84 years Discuss
- 9. The difference between the ages of two persons is 10 years. 15 years ago the elder one was twice as old as the younger one. The present age of the elder person is?
Options- A. 25 years
- B. 35 years
- C. 45 years
- D. 55 years Discuss
- 10. The sum of the ages of a mother and a daughter is 50 years. Also, 5 years ago, the mother's age was 7 times of the age of her daughter. The present ages of the mother and the daughter respectively are?
Options- A. 35 years, 15 years
- B. 38 years, 12 years
- C. 40 years, 10 years
- D. 42 years, 8 years Discuss
Problems on Ages
Search Results
Correct Answer: 2 yr
Explanation:
3 yr before, total age of 5 members = 17 x 5 = 85 yr
? The present age of all members of family = 85 + 3 x 5 = 100 yr
Let the age of child be N yr.
? Present average age of family including the child
= (100 + N)/6
? 17 = (100 + N)/6
? N = 102 - 100 = 2 yr
Correct Answer: 40 yr
Explanation:
Let present age of Ravi be k.
Then, Present age of Ravi's father = 4k.
Now, 5 yr ago,
Ravi's father's age = 7 x Ravi's age
? 4k - 5 = 7(k - 5)
? 4k - 5 = 7k - 35
? 3k = 30
? k = 10
? Ravi's present age = k = 10 yr
? Ravi's father's present age = 4k
= 4 x 10 = 40 yr
Correct Answer: 10 yr
Explanation:
Let k yr before, the ratio of their ages was 3 : 5.
According to the question
(40 - k)/(60 - k) = 3/5
? 200 - 5k = 180 - 3k
? 2k = 20
? k = 10
Correct Answer: 3 : 5
Explanation:
Let 10 yr ago, ages of Ram and Rahim were k yr and 3k yr, respectively.
Then, present age of Ram = (k + 10)
and present age of Rahim = (3k + 10)
According to the question, (k + 10 + 5) / (3k + 10 + 5) = 2/3
? 3k + 45 = 6k + 30
? 3k = 15
? k = 5
Hence, required ratio = (5 + 10) / (3 x 5 + 10)
= 15/25
= 3 : 5
Correct Answer: 18 yr
Explanation:
Let Tarun and Varun's ages are 3k yr and 7k yr, respectively.
? 7k + 4 = 39
? k = 5
Hence, Tarun's age 4 yr ago = 3 x 5 - 4 = 11 yr
Correct Answer: 8 years
Explanation:
Let the age of Mr Manoj be (10y + y) yrs.
? His wife's age = (10y + x ) years
Then, ((10x + y + 10y + x) / 11 = 10x + y -10y-x
? x + y = 9x - 9y
? 8x = 10y
? x/y = 5/4
? x = 5 and y =4 (because any other multiple of 5 will make x of two digits).
? Diff. = (10x + y) - (10y - x)
= 9x - 9y
= 9(x-y)
= 9(5-4)
= 9 yrs.
Correct Answer: 40 years
Explanation:
Let son's age 5 years hence = x years
Then, father's age after 5 years hence = 3x years
? 7(x - 10) = (3x - 10)
? x(7 - 3) = 70 - 80
? x = 15
? Father's present age = (3x - 5) = 40 years
Correct Answer: 40 years
Explanation:
Let Arvind's present age be x years
Then, his father's present age = 4x years
? (4x - 5) = 7(x - 5)
? 3x = 30
? x = 10
Hence, Arvind's father's age is 40 years.
Correct Answer: 35 years
Explanation:
Let the present age of the elder person be x years.
Then, the present age of the younger person = (x - 10) years.
? (x - 15) = 2(x - 10 - 15)
? x = 35
? the present age of the elder person is 35 years.
Correct Answer: 40 years, 10 years
Explanation:
Let the daughter's present be x years.
Then, mother's present age = (50 - x) years
Now, 7(x -5) = (50 - x - 5)
? x = 10
So, the present ages of mother and daughter are 40 years and 10 years respectively.
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