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Three years back, the average age of 5 members family is 17 years. After a child is born and now the average age of the family remains same. What is the present age of the child?
- a)8 yrs
- b)2 yrs
- c)10 yrs
- d)11 yrs
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Three years back, the average age of 5 members family is 17 years. Aft...
Three back total age of 5 members = 17 * 5 = 85 years.
Total present age of 5 members = 85 + 3 * 5 = 100 years.
Now, a child born, average age reamin sam.
Average of 6 people = 17
Toatl age of 6 people = 17 * 6 = 102 years.
Age of child = 102 - 100 = 2 years
Most Upvoted Answer
Three years back, the average age of 5 members family is 17 years. Aft...
**Solution:**
Let's assume the present age of the child is x years.
Before the child was born, the total age of the family was 5 * 17 = 85 years (since the average age of the family was 17 years)
After the child was born, the total age of the family becomes 6 * 17 = 102 years (since the average age of the family remains the same)
Therefore, the age of the child is 102 - 85 = 17 years.
But we need to find the present age of the child, so we need to subtract 3 years from the current age.
Hence, the present age of the child is 17 - 3 = 14 years.
Therefore, the correct answer is option B) 2 years.
**Explanation:**
- Let's assume the present age of the child is x years.
- Before the child was born, the average age of the family was 17 years.
- So, the total age of the family before the child was born = 5 * 17 = 85 years.
- After the child was born, the average age of the family remains the same.
- So, the total age of the family after the child was born = 6 * 17 = 102 years.
- The age of the child can be calculated by subtracting the total age of the family before the child was born from the total age of the family after the child was born.
- Therefore, the age of the child is 102 - 85 = 17 years.
- But we need to find the present age of the child, so we need to subtract 3 years from the current age.
- Hence, the present age of the child is 17 - 3 = 14 years.
- Therefore, the correct answer is option B) 2 years.
Let's assume the present age of the child is x years.
Before the child was born, the total age of the family was 5 * 17 = 85 years (since the average age of the family was 17 years)
After the child was born, the total age of the family becomes 6 * 17 = 102 years (since the average age of the family remains the same)
Therefore, the age of the child is 102 - 85 = 17 years.
But we need to find the present age of the child, so we need to subtract 3 years from the current age.
Hence, the present age of the child is 17 - 3 = 14 years.
Therefore, the correct answer is option B) 2 years.
**Explanation:**
- Let's assume the present age of the child is x years.
- Before the child was born, the average age of the family was 17 years.
- So, the total age of the family before the child was born = 5 * 17 = 85 years.
- After the child was born, the average age of the family remains the same.
- So, the total age of the family after the child was born = 6 * 17 = 102 years.
- The age of the child can be calculated by subtracting the total age of the family before the child was born from the total age of the family after the child was born.
- Therefore, the age of the child is 102 - 85 = 17 years.
- But we need to find the present age of the child, so we need to subtract 3 years from the current age.
- Hence, the present age of the child is 17 - 3 = 14 years.
- Therefore, the correct answer is option B) 2 years.
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Three years back, the average age of 5 members family is 17 years. After a child is born and now the average age of the family remains same. What is the present age of the child?a)8 yrsb)2 yrsc)10 yrsd)11 yrse)None of theseCorrect answer is option 'B'. Can you explain this answer?
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