When Rajesh was born, his father age was 29 years older than his Brother and his Mother was 25 years older than his Sister. If his Brother is 2 years elder than his Sister. After 6 years the average age of the family is 20. Then what is the age of Mother when Rajesh was born?a)27b)28c)29d)30e)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Given information:
- Rajesh's father was 29 years older than his brother.
- Rajesh's mother was 25 years older than his sister.
- Rajesh's brother is 2 years older than his sister.
- After 6 years, the average age of the family is 20.

To find:
- The age of Rajesh's mother when he was born.

Solution:
Let's assume the age of Rajesh's brother as 'B' years.
Then, the age of Rajesh's sister would be 'B-2' years.
According to the given information, we can form the following equations:
- Father's age = B + 29
- Mother's age = B-2 + 25 = B + 23

After 6 years, the average age of the family is 20, which means the total age of the family after 6 years would be:
Total age = 20 * (4 members in the family)

Total age = (B + 35) + (B + 27) + (B + 23) + (Rajesh's age + 6)

We know that Rajesh's age after 6 years would be (Rajesh's age + 6).
Therefore, the above equation can be simplified as:
3B + 85 + Rajesh's age + 6 = 80

3B + Rajesh's age = -11

We cannot determine Rajesh's age from the given information. However, we can determine B, which is the age of Rajesh's brother.
3B + Rajesh's age = -11
3B + B+2 = -11 (As Rajesh's age = B+2)
4B = -13
B = -13/4

We cannot have negative age, which means there is some mistake in our assumption or calculation.
Let's check the given information again.

Rajesh's father was 29 years older than his brother.
This means B + 29 > 0
B > -29

Rajesh's mother was 25 years older than his sister.
This means B-2 + 25 > 0
B > -23

Rajesh's brother is 2 years older than his sister.
This means B > B-2
2 > -2

The above inequalities are contradictory, which means there is some mistake in the given information.
Therefore, we cannot determine the age of Rajesh's mother when he was born.

Final answer:
Option E (Cannot be determined)

Similar Quant Doubts

When Suresh was born, his father age was 27 years older than his Brother and his Mother was 24 years older than his Sister. If his Brother is 2 year is elder than his Sister.Then his Father is how many years older than his Mother after 6 years?

When Ramesh was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Ramesh’s brother is 6 years older than Ramesh and his mother is 3 years younger than his father, how old was Ramesh’s sister when Ramesh was born?

When Rajeev was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rajeevs brother is 6 years older than Rajeev and his mother is 3 years younger than his father, how old was Rajeevs sister when Rajeev was born?

My brother is 3 years elder to me. My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born. If my sister was 4 years of age when my brother was born, then, what was the age of my father and mother respectively when my brother was born?

Top Courses for Quant

Suggested Free Tests

Related Content

Quant Courses

Related Exams

Related Question Answers

Related Searches

Company