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I have a brother who is 4 years elder to me, and a sister who was 5 years old when my brother was born. When my sister was born, my father was 24 year
Question

I have a brother who is 4 years elder to me, and a sister who was 5 years old when my brother was born. When my sister was born, my father was 24 years old. My mother was 27 years old when I was born. How old (in years) were my father and mother, respectively, when my brother was born?

A.

29 and 23

B.

27 and 25

C.

27 and 23

D.

29 and 25

Correct option is A


Given:
1. My brother is 4 years older than me. Let my age be "x" and my brother's age is "x + 4."
2. My sister was 5 years old when my brother was born. This means my sister is 5 years older than my brother. Therefore, my sister's age is "x + 4 + 5 = x + 9."
3. When my sister was born, my father was 24 years old. So, my father's age is "my sister's age + 24," which is "x + 9 + 24 = x + 33."
4. My mother was 27 years old when I was born. So, my mother's age is "my age + 27," which is "x + 27."
To Find:
The ages of my father and mother when my brother was born. When my brother was born, I was 4 years younger than him, i.e., "x - 4."
Solution:
1. Father's Age When My Brother Was Born: My father's age when I was "x" is "x + 33." When my brother was born (4 years earlier), my father's age was: "x + 33 - 4 = x + 29."
2. Mother's Age When My Brother Was Born: My mother's age when I was "x" is "x + 27." When my brother was born (4 years earlier), my mother's age was: "x + 27 - 4 = x + 23."
Final Answer:
The ages of my father and mother when my brother was born are 29 and 23, respectively.
Correct Option: (a) 29 and 23.

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