Advertisement Remove all ads

Form the pair of linear equations for the following problems and find their solution by substitution method The difference between two numbers is 26 and one number is three times the other. Find them. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Form the pair of linear equations for the following problems and find their solution by substitution method

The difference between two numbers is 26 and one number is three times the other. Find them.

 

Advertisement Remove all ads

Solution

Let larger number = x

Smaller number = y

The difference between two numbers is 26

x – y = 26

x = 26 + y

Given that one number is three times the other

So x = 3y

Putting the value of x we get

26y = 3y

-2y = - 2 6

y = 13

So value of x = 3y

Putting value of y, we get

x = 3 × 13 = 39

Hence the numbers are 13 and 39.

Concept: Algebraic Methods of Solving a Pair of Linear Equations - Substitution Method
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.3 | Q 3.1 | Page 53
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×