Ramesh was born two years after his father's marriage. His mother is five years younger than his father but 20 years older than Ramesh who is 10 years old. At what age did the father get married?

Ramesh was born two years after his father's marriage.

His mother is five years younger than his father but 20 years older than Ramesh who is 10 years old.

Ramesh is 10 years old.
His mother is 20 years older than Ramesh.
So, his mother's age = 10 + 20 = 30 years.

His mother is 5 years younger than his father.
So, his father's age = 30 + 5 = 35 years.

Ramesh was born 2 years after his father’s marriage.

Father’s age at marriage = Father’s current age − (Ramesh’s age +2)

Father’s age at marriage = 35 − (10 + 2)

Father’s age at marriage = 35 − 12

Father’s age at marriage = 23

So, the father got married at 23 years old.

Thus, the correct answer is (a).