At present, a father is 30 years older than his son. In 12 years, the father will be three times as old as his son. What is the present age of the son?
3 years
Let the present age of the son be \(s\) years. Then the father's present age is \(s + 30\) years.
In 12 years: son's age \(= s + 12\), father's age \(= s + 42\).
Condition: \(s + 42 = 3(s + 12)\).
Expanding: \(s + 42 = 3s + 36\).
\(42 - 36 = 3s - s\), so \(2s = 6\), giving \(s = 3\).
Hence, the present age of the son is 3 years.
The age of Dr. Pandey is four times the age of his son. After 10 years, the age of Dr. Pandey will be twice the age of his son. The present age of Dr. Pandey's son is?
Three years ago, the average age of a family of six members was 19 years. Since then, a boy has been born, and the average age of the family is the same today as it was three years ago. What is the age of the boy?
Amita is 2 years older than her friend Amrita. Amita's father is twice as old as Amita, and Amrita is twice as old as her sister. The ages of Amita's father and Amrita's sister differ by 43 years. The sum of the ages (in years) of Amita and Amrita is: