Chapter 3 – Pair of Linear Equations in Two Variables

In a triangle ABC, angle C = 3, angle B= 2 (A+B). Find the three angles. angle B= 2 (A+B). Find the three angles. angle C = 3 In a triangle ABC October 3, 2020 Category: Chapter 3 - Pair of Linear Equations in Two Variables , Exercise 3.7 , Maths , NCERT Class 10 [...]

The students of a class are made to stand in rows. If three students are extra in each row, there would be 1 row less. If 3 students are less in a row, there would be 2 rows more. Find the number of students in the class. The students of a class are made to [...]

A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster, it would have taken 2 hours less than the scheduled time. And, if the train were slower by 10 km/h; it would have taken 3 hours more than the scheduled time. Find the distance covered by [...]

One says, “ Give me a hundred “ friend, I shall then become twice as rich as you”. The other replies, “If you give me ten, I shall be six times as rich as you”. Tell me what is the amount of their (respective) capital ?(from the Bijaganita of Bhaskara II) “ Give me a [...]

The ages of two friends Ani and Biju differ by 3 years. Ani’s father Dharam is twice as old as Ani and Biju is twice as old as his sister Cathy. The ages of Cathy and Dharam differ by 30 years. Find the ages of Ani and Biju. 1/3x + 1/2y = 13/6 Solve the [...]

Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the [...]

2 women and 5 men can together finish an embroidery work in 4 days, while 3 women and 6 men can finish it in 3 days. find the time taken by 1 women alone to finish the work ,and also that taken by 1 man alone. 2 women and 5 men can together finish an [...]

Solve the following pairs of equations by reducing them to a pair of linear equations: (i) 1/2x + 1/3y = 2, 1/3x + 1/2y = 13/6 1/3x + 1/2y = 13/6 Solve the following pairs of equations by reducing them to a pair of linear equations: (i) 1/2x + 1/3y = 2 October 3, 2020 [...]

The area of a rectangle gets reduced by 9 square units if its length is reduced by 5 units and the breadth is increased by 3 units. If we increase the length by 3 units and breadth by 2 units, the area is increased by 67 square units. Find the dimensions of the rectangle. the [...]

Place A and B are 100 km apart on a highway. One car starts from A and another from B at the same time. If the cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other they meet in 1 hour. What are the speeds [...]