# NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.3

NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.3 Quadratic Equations View in Video Format or Download in Hindi Medium and English Medium free PDF file format updated for new academic year 2020-2021.

Download Class 10 Maths Offline Apps in Hindi and English Medium based on NCERT Books 2020-21 for offline use. Visit to Discussion Forum to ask your doubts and answer the questions asked by other users.## NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.3

Class: | 10 |

Subject: | Maths – गणित |

Chapter 4: | Exercise 4.3 |

### 10 Maths Chapter 4 Exercise 4.3 Solutions

NCERT Solutions for Class 10 Maths Chapter 4 Exercise 4.3 Quadratic Equations in English & Hindi Medium free to use or download are given below updated for 2020-21. Download Class 10 Maths Apps in Hindi or English for offline use. Class 10 Maths Solutions are in updated form for CBSE, MP Board & UP Board students following NCERT Books based on Latest CBSE Syllabus 2020-21 for the academic session 2020-2021 onward.

### Class 10 Maths Exercise 4.3 Solutions

#### Word Problems with Answer on Quadratic Equations

1. Sum of the areas of two squares is 400 cm². If the difference of their perimeters is 16 cm, find the sides of two squares. [Answer: 24 cm or 10 cm]

2. The sum of the squares of two natural numbers is 29. If the second number is one more than twice the first number, find the numbers. [Answer: 2 and 5]

3. The area of an isosceles triangle is 60 cm² and the length of each one of its equal sides is 13 cm. Find its base. [Answer: Length = 24 cm]

4. A girl is twice as old as her sister. Four years hence the product of their ages (in years) will be 160.Find their present age. [Answer: 6 years, 12 years]

5. Find three consecutive odd positive integers the sum of whose squares is 371. [Answer: 8, 11 and 13]

##### Questions from Board Papers

1. A motor boat whose speed in still water is 18 km/hr takes 1 hour more to go 24 km upstream that to return downstream to the same spot. Find the speed of the stream. [Answer: 6 km/h]

2. A fast train takes 3 hours less than a slow train for a journey of 600 km. If the speed of the slow train is 10 km/hr less than that of the fast train, find the speeds of the two trains. [Answer: 40 km/h, 50 km/h]

3. A two digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchanged their places. Find the number. [Answer: 57]

4. The numerator of a fraction is 3 less than the denominator. If 2 is added to both the numerator and the denominator, then the sum of the new fraction and the original fraction is 29/20. Find the original fraction. [Answer: 7/10]

5. The difference of two natural numbers is 3 and the difference of their reciprocals is 3/28. Find the numbers. [Answer: 7, 4]

###### Questions for Practice on 10th Maths Chapter 4

1. A natural number, when increased by 12 equals 160 times its reciprocal. Find the number. [Answer: 8]

2. Three consecutive positive integers are such that the sum of the square of the first and the product of other two is 46, find the integers. [Answer: 4, 5, 6]

3. A two digit number is four times the sum and three time the product of its digits. Find the numbers. [Answer: 24]

4. The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find their present ages. [Answer: Man = 32 years, son = 4 years]

5. The hypotenuse of a grassy land in the shape of a right triangle is 1 metre more than twice the shortest side, if the third side is 7 metres more than the shortest side, find the sides of the grassy land. [Answer: 8m, 17m, 15m]

6. In a class test, the sum of the marks obtained by Tiwari in Mathematics and Science is 28. Had he got 3 marks more in Mathematics and 4 marks less in Science, the product of his marks, would have been 180. Find the marks in the two subjects. [Answer: Marks in maths = 12, marks in science = 16]

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