Ena was born 4 years after her parents’ marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena’s father get married?
Correct Answer :
23 years
Solution :
The correct option is 23 years.
To find the age at which Ena's father got married, we can work backward step-by-step from Ena's current age:
Step 1: Find Ena's mother's current age
We are given that Ena is 13 years old and her mother is 24 years older than her.
Mother's current age = Ena's age + 24
So, the mother is currently 37 years old.
Step 2: Find Ena's father's current age
We are told that Ena's mother is three years younger than her father. This means her father is three years older than her mother.
Father's current age = Mother's current age + 3
So, the father is currently 40 years old.
Step 3: Determine how many years ago the parents got married
Ena was born 4 years after her parents' marriage. Since Ena is currently 13 years old, the marriage took place 4 years before her birth.
Years since marriage = Ena's age + 4
This means the parents got married 17 years ago.
Step 4: Calculate the father's age at the time of marriage
To find his age at marriage, we subtract the years since the marriage from the father's current age:
Father's age at marriage = Father's current age - 17
Therefore, Ena's father was 23 years old when he got married.
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