Problems on Ages
- If A son is younger then his father by 25 years and the father was 45 years old,4 years ago. What will be the total age of the father and son after 5 years ?
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Let the present age of father be x years, Then the present age of son = (x - 25) years .
According to to question,
x - 4 = 45
⇒ x = 45 + 4
⇒ x = 49
∴ Age of son = 49 - 25 = 24 years
∴ Age of son after five years = 24 + 5 = 29 yearsCorrect Option: C
Let the present age of father be x years, Then the present age of son = (x - 25) years .
According to to question,
x - 4 = 45
⇒ x = 45 + 4
⇒ x = 49
∴ Age of son = 49 - 25 = 24 years
∴ Age of son after five years = 24 + 5 = 29 years
∴ Age of father after five years = 49 + 5= 54 years
Total age of both = 29 + 54= 83 years
- 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 ?
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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)/6Correct Option: D
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
- 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 ?
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Let k yr before, the ratio of their ages was 3 : 5.
According to the question
(40 - k)/(60 - k) = 3/5Correct Option: D
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
- 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 ?
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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)Correct Option: C
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
- 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 ?
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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) = 2/3Correct Option: B
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