Father is 3 years older than the mother and the mother’s age is now twice the daughter’s age. If the daughter is 20 years old now, then the father’s age when the daughter was born is:

The correct option is 23 years.

Step 1: Understand the current ages

We are given that the daughter's current age is 20 years.

$\text{Daughter's current age}=20\text{years}$

Step 2: Find the mother's current age

The mother's age now is twice the daughter's age.

$\text{Mother's current age}=2\times 20=40\text{years}$

Step 3: Find the father's current age

The father is 3 years older than the mother.

$\text{Father's current age}=40+3=43\text{years}$

Step 4: Calculate the father's age when the daughter was born

Since the daughter is 20 years old now, she was born 20 years ago. Therefore, we subtract 20 years from the father's current age to find his age at the time of her birth.

$\text{Father's age when daughter was born}=43-20=23\text{years}$

Thus, the father's age when the daughter was born was 23 years.