Question

A girl is 28 years younger than her father.The sum of their ages is 50 years.Find the ages of the girl and her father.​

Answer 1

Answer:

age of girl = 50-28

= 22

Step-by-step explanation:

total age - age of girl

= 50 -28

= 22

Answer 2

Question

A girl is 28 years younger than her father.The sum of their ages is 50 years.Find the ages of the girl and her father.

Understand the problem.

Given:- Comparison of a girl's age and her father's age.The sum of their ages is 50.

Asked:- The ages of the girl and her father.

Identify the unknown and assign

a variable.

let the age of the girl be x.

Frame the equation.

Father's age = Girl's age + 28

= x + 28

Girl's age + Father's age = 50

x + (x + 28) = 50

Solve the equation.

• Simplifying the equation,we get :

$\sf{2x + 28 = 50}$

• Subtracting 28 from both sides,we get :

$\sf{2x + { { \cancel {28}- { { \cancel{28}}}}}} = 50 - 28$

2x = 22

• Dividing both sides by 2,we get :

x = 11

Interpret the answer.

The girl's age is 11 years.

We know that the father's age is x + 28

So,the father's age is 11 + 28 = 39 years.