shaalaa.com
S

Solution - Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method

Account
User


Login
Register


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Question

The time taken by a person to cover 150 km was 2 1/2 hours more than the time taken in the return journey. If he returned at a speed of 10 km/hour more than the speed while going, find the speed per hour in each direction.

Solution

You need to to view the solution
Is there an error in this question or solution?

Appears in these question papers

Similar questions VIEW ALL

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :

A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food per day.

view solution

Solve the following system of equations by cross-multiplication method ax + by = 1;  `bx + ay = \frac{(a+b)^{2}}{a^{2}+b^{2}-1`

view solution

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method

Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer. Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash would have scored 50 marks. How many questions were there in the test?

view solution

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method

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

 

view solution

Solve the following system of equations by cross-multiplications method.

`a(x + y) + b (x – y) = a^2 – ab + b^2`

`a(x + y) – b (x – y) = a^2 + ab + b^2`

view solution

Reference Material

Solution for concept: Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method. For the courses 8th-10th CBSE, 9th - 10th SSC (English Medium)
S