NCERT Class 8 Mathematics Solutions: Chapter 2 –Linear Equations in One Variable Exercise 2.4 Part 3

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Given this figure Subtract and add linear equaction

Subtract and Add Linear Equaction

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Question: 8 Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby. The rest 9 are drinking water from the pond. Find the number of deer in the herd.


Let the total number of deer in the herd be.

According to question,

Hence, the total number of deer in the herd is 72.

Question: 9 A grandfathers is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.


Let present age of granddaughter be years.

Therefore, Grandfather’s age = years.

According to question,


Hence, granddaughter’s age = 6 years and

Grandfather’s age years

Question: 10 A man’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.


Let the present age of a man’s son be year.

Therefore, A man’s age = 3x years

According to question,

Hence, a man’s son age years

A man’s age =