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Find the age of the father. Solution: Let the present age in year of father and his two children be x, y and z years, respectively. Question 18 Two number are in the ratio 5 : 6, If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5.
Find the numbers. Solution: Let the two numbers be x and y. Question 19 Class 10th Ncert 3.1 Solution List There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to 8. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in the two halls.
Solution: Let the number of students in halls A and B are x and y respectively. Question 20 A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Find the fixed charges and the charge for each extra day. Jayanti answered questions and got 90 marks. How many questions did she answer correctly?
Solution: Let the number of correct answers be x then the number of wrong answers be � x Then, by given condition, Hence, Jayanti answered correctly questions. Find x and y and hence the values of the four angles. Also find the area of the quadrilateral formed by the lines and the x-axis. Now, from the graph ABCD is the quadrilateral formed by given lines and x � axis.
Form the pair of linear equations for the above situation. Find the cost of a pen and a pencil box. On solving lines i and ii , we will get the intersecting point B On multiplying eq. On solving lines iii and i , we will get the intersecting point A On multiplying in eq. Question 6 Ankita travels 14 km to her home partly by rickshaw and partly by bus.
She takes half an hour, if she travels 2 km by rickshaw, and the remaining distance by bus. On the other hand, if she travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find the speed of the rickshaw and of the bus. Now, time taken to travel 2 km by rickshaw, and time taken to travel remaining distance i.
Find the speed of the stream. Question 8 A motorboat can travel 30 km upstream and 28 km downstream in 7 hours. It can travel 21 km upstream and return in 5 hours. Find the speed of the boat in still water and the speed of the stream. For a parallel lines, there is no solution at all. If all the lines are intersecting at one point, then we can say that the system of linear equations are consistent and have a unique solution.
Download Exercise 3. Class 10 Maths Exercise 3. Class 10 Maths Chapter 3 Exercise 3. Important Terms for Pair of Linear Equations The graph of a pair of linear equations in two variables is represented by two lines. If the lines intersect at a point, the pair of equations is consistent.
The point of intersection gives the unique solution of the equations. Represent the situation algebraically and geometrically. Two linear equations in the same two variables are called a pair of linear equations in two variables.
Standard form of linear equations in two variables. There are infinitely many solutions of each linear equation. Coordinate of the point x, y which satisfy the system of pair of linear equations in two variables is the required solution. This is the point where the two lines representing the two equations intersect each other.
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