# 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

**Solution:**

Let the age of the father be x years.

Then the age of the girl be (x - 28) years

The linear equation formed is

x + (x - 28) = 50

2x - 28 = 50

2x = 50 + 28

x = 78/2

x = 39

Hence, (x - 28) = 11

Thus, the ages of the girl and her father are 11 years and 39 years respectively.

**✦ Try This:** A girl is 26 years younger than her father. The sum of their ages is 68 years. Find the ages of the girl and her father.

Let the age of the father be x years.

Then the age of the girl be (x - 26) years

A/Q

x + (x - 26) = 68

2x - 26 = 68

2x = 68 + 26

x = 94/2

x = 47

Hence, (x - 26) = 21

Thus, the ages of the girl and her father are 21 years and 47 years respectively.

**☛ Also Check: **NCERT Solutions for Class 7 Maths Chapter 4

**NCERT Exemplar Class 7 Maths Chapter 4 Problem 98**

## 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

**Summary:**

The ages of the girl and her father are 11 years and 39 years respectively

**☛ Related Questions:**

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