Question

Pravallika is in class 5. She is ten years old. Her father’s age is 4 times of her age. Find the age of her father.

Answer 1

Hint: Consider age of Pravallika be x years and her father's age be y years and they given her father's age is 4 times of her age then writing it in mathematical equation it will be $y=4x$ and now substitute the value of x i.e.10 years in equation, we get the value of her father's age.

Complete step-by-step answer:
Let the age of Pravallika be x.
Let the age of her father be y.

Given,
Pravallik’s age $x=10$ years
Her father's age is 4 times of her age i.e. y is 4 times x
Writing it in mathematical equation and substituting value of x i.e 10 years, we get
$
   \Rightarrow {\text{y = 4x}} \\
   \Rightarrow {\text{y = 4}} \times {\text{10}} \\
   \Rightarrow {\text{y = 40 years}} \\
$
Hence, her father’s age is 40 years.

Note: In order to solve such types of questions the key is to express the unknown as variables. In this case the ages. We express the age of pravallika as a variable x and the age of her father as y and form a relation. Substituting the given quantity (x = 10) in the relationship gives the required quantity.