NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.4 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.4.

- Linear Equations in One Variable Class 8 Ex 2.1
- Linear Equations in One Variable Class 8 Ex 2.2
- Linear Equations in One Variable Class 8 Ex 2.3
- Linear Equations in One Variable Class 8 Ex 2.5
- Linear Equations in One Variable Class 8 Ex 2.6

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 8 |

Subject |
Maths |

Chapter |
Chapter 2 |

Chapter Name |
Linear Equations in One Variable |

Exercise |
Ex 2.4 |

Number of Questions Solved |
10 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 8 Maths Chapter 2 Linear Equations in One Variable Ex 2.4

**Question 1.**

Amina thinks of a number and subtracts \(\frac { 5 }{ 2 } \) from it. She multiplies the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?

**Solution.**

Let the number be x.

Then, according to the question,

**Question 2.**

A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers?

**Solution.**

Let the numbers be x and 5x.

If 21 is added to both the numbers, then first new number = x + 21

and, second new number = 5x + 21

**Question 3.**

Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?

**Solution.**

Let the unit’s digit of the two-digit number be x.

Then, the ten’s digit of the two-digit number = 9 – x

**Question 4.**

One of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two-digit number and add the resulting number to the original number, you get 88. What is the original number?

**Solution.**

Let in the original number

**Question 5.**

Shobo’s mother’s present age is six times Shobo’s present age. Shobo’s age five years from now will be one third of his mother’s present age. What are their present ages?

**Solution.**

Let the present age of Shobo be x year. Then, the present age of Shobo’s mother = 6x years.

Five years from now

Shobo’s age = (x + 5) years

According to the question,

Hence, their present ages are 5 years and 30 years.

**Question 6.**

There is a narrow rectangular plot, reserved for a school, in Mahuli village. The length and breadth of the plot are in the ratio 11:4. At the rate of ₹ 100 per meter, it will cost the village panchayat ₹ 75000 to fence the plot. What are the dimensions of the plot?

**Solution.**

Let the length and breadth of the plot be 11x m and 4x m respectively.

Then, the perimeter of the plot

**Question 7.**

Hasan buys two kinds of cloth materials for school uniforms, shirt material that costs him ₹ 50 per meter and trouser material that costs him ₹ 90 per meter. For every 2 meters of the trouser material, he buys 3 meters of the shirt material. He sells the materials at 12% and 10% profit respectively. His total sale is ₹ 36,600. How much trouser material did he buy?

**Solution.**

Suppose that he bought x meters of trouser material.

**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.

**Solution.**

Let the number of deer in the herd be x.

**Question 9.**

A grandfather is ten times older than his granddaughter. He is also 54 years older than her. Find their present ages.

**Solution.**

Let the present age of granddaughter be x years

Then, the present age of grandfather is 10x years

According to the question,

**Question 10.**

Am.an’s age is three times his son’s age. Ten years ago he was five times his son’s age. Find their present ages.

**Solution.**

Let the present age of Aman’s son be x years

Then, the present age of Aman

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