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18 years ago the average age of a family of four members was 45 years. Two children were born in that span of 18 years. The present average age of the family remained unchanged. Among the two children who were born in between the 18 years, if the older child at present is 12 years more than the younger one, what is the respective ratio between the present age of the older child and the present age of the younger child?
  • a)
    4 : 1
  • b)
    3 : 2
  • c)
    5 : 1
  • d)
    3 : 1
  • e)
    5 : 2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
18 years ago the average age of a family of four members was 45 years...
18 years ago,
The sum of age of a family of four members = 45 × 4 = 180 years
Now at present,
The sum of age of four members = 180 + 18 × 4 =252 years
Let the Present age of younger child be x years
And the present age of older child = (x + 12) years
Now, as per the question
252 + x + 12 + x = 45 × 6
⇒ 2x = 270 – 264
⇒ 2x = 6
⇒ x = 3
So the required ratio = (3 + 12) : 3 = 15 : 3 = 5 : 1
Hence, the correct option is (C).
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Community Answer
18 years ago the average age of a family of four members was 45 years...
Understanding the Problem
In this problem, we need to determine the present ages of two children in a family, given that the average age of a family of four members has remained unchanged over 18 years.
Initial Information
- 18 years ago, the average age of a family of four was 45 years.
- Therefore, the total age of the family 18 years ago = 45 years * 4 members = 180 years.
- The total age of the family now = 180 years + (18 years * 4 members) = 180 + 72 = 252 years.
Average Age Calculation
- The present average age of the family = Total present age / Number of members = 252 years / 6 members = 42 years.
Age of the Children
- The family now has 6 members (the original 4 plus 2 children).
- Let the present age of the younger child be x years.
- Therefore, the present age of the older child = x + 12 years.
Equation Setup
- The total present age of the family can be expressed as:
- (Age of 4 adults) + (Age of younger child) + (Age of older child) = 252 years
- 252 = (252 - (x + (x + 12)))
- 252 = 252 - 2x - 12
- Simplifying, we have: 2x = 12 => x = 6 years.
Present Ages of the Children
- Younger child’s age = x = 6 years
- Older child’s age = x + 12 = 18 years
Ratio of Their Ages
- The ratio of the present age of the older child to the younger child = 18 : 6 = 3 : 1.
Thus, the respective ratio between the present age of the older child and the present age of the younger child is 3 : 1, confirming option 'C' as the correct answer.
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Directions: Read the passage given below and answer the questions that follow by choosing the correct/most appropriate options:Around 85 per cent of children in India have reported being cyberbullied and it is the highest in the world, according to a new survey released by global computer security firm McAfee Corp Monday. Titled ‘Cyberbullying in Plain Sight’, the report is based on a 10-country survey to uncover new and “consequential trends” regarding cyberbullying. The survey also noted that the number of Indian children who reported having cyberbullied someone is also twice the international average. Around 45 per cent of children in India say they cyberbullied a stranger, compared to 17 per cent worldwide and 48 per cent said they cyberbullied someone they know, versus 21 per cent of kids in other countries.The top three forms of cyberbullying reported in India were spreading false rumours (39 per cent), being excluded from groups or conversations (35 per cent) and name-calling (34 per cent). The survey was conducted from 15 June to 5 July by market research company MSI-ACI for McAfee Corp via emails that invited parents of children aged 10 to 18 years to complete an online questionnaire. It surveyed a total of 11,687 parents and their children from 10 countries, including the United States, United Kingdom, France, Germany, Australia, India, Canada, Japan, Brazil, and Mexico. The survey also said Indian children faced the highest number of “extreme forms of cyberbullying” in the world that including cases of racism, sexual harassment, and threats of physical harm.Around 42 per cent of children in India have been the target of racist cyberbullying, which is 14 per cent higher than the rest of the world (at 28 per cent). As many as 36 per cent of Indian children reported being trolled, 29 per cent said they faced personal attacks, 30 per cent suffered sexual harassment, 28 per cent had threats of personal harm and 23 per cent suffered doxing. All of these forms of cyberbullying, the survey noted, stood at double the global average. “Cyberbullying in India reaches alarming highs _____ more than 1 in 3 kids face cyber racism, sexual harassment, and threats of physical harm as early as the age of 10 – making India the #1 nation for reported cyberbullying in the world,” said Gagan Singh, chief product officer at McAfee Corp. The survey also noted that 45 per cent of Indian children hid their cyberbullying experiences from parents, well below the global average of 64 per cent “perhaps due to the relative absence of conversation” around the issue. Singh said Indian parents displayed “important gaps of knowledge around cyberbullying but even more concerning, children aren’t considering behaviours like jokes and name-calling harmful online”.In the absence of conversation and support, the survey said that Indian children were addressing cyberbullying themselves. Nearly three out of five (58 per cent) children said they deleted their social media accounts to avoid cyber bullying and 87 per cent said they talked to their friends about it.Q. Which of the following is/are incorrect according to the given passage?A. The survey was conducted from 5 July to 15 July by market research company MSI-ACI for McAfee Corp via emails that invited parents of children aged 10 to 18 years to complete an online questionnaire.B. The survey also said Indian children faced the least number of “extreme forms of cyberbullying” in the world that including cases of racism, sexual harassment, and threats of physical harm.C. The survey also noted that the number of Indian children who reported having cyberbullied someone is also twice the international average.

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18 years ago the average age of a family of four members was 45 years. Two children were born in that span of 18 years. The present average age of the family remained unchanged. Among the two children who were born in between the 18 years, if the older child at present is 12 years more than the younger one, what is the respective ratio between the present age of the older child and the present age of the younger child?a)4 : 1b)3 : 2c)5 : 1d)3 : 1e)5 : 2Correct answer is option 'C'. Can you explain this answer?
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18 years ago the average age of a family of four members was 45 years. Two children were born in that span of 18 years. The present average age of the family remained unchanged. Among the two children who were born in between the 18 years, if the older child at present is 12 years more than the younger one, what is the respective ratio between the present age of the older child and the present age of the younger child?a)4 : 1b)3 : 2c)5 : 1d)3 : 1e)5 : 2Correct answer is option 'C'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about 18 years ago the average age of a family of four members was 45 years. Two children were born in that span of 18 years. The present average age of the family remained unchanged. Among the two children who were born in between the 18 years, if the older child at present is 12 years more than the younger one, what is the respective ratio between the present age of the older child and the present age of the younger child?a)4 : 1b)3 : 2c)5 : 1d)3 : 1e)5 : 2Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 18 years ago the average age of a family of four members was 45 years. Two children were born in that span of 18 years. The present average age of the family remained unchanged. Among the two children who were born in between the 18 years, if the older child at present is 12 years more than the younger one, what is the respective ratio between the present age of the older child and the present age of the younger child?a)4 : 1b)3 : 2c)5 : 1d)3 : 1e)5 : 2Correct answer is option 'C'. Can you explain this answer?.
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