NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 3(i)

NCERT Class X Chapter 3: Pair of Linear Equations In Two Variables Exercise 3.2 Question 3(i)

Question:

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.

Given

The difference between two numbers is 26. One number is three times the other.

To Find:

The two numbers.

Formula:

Substitution method for solving linear equations.

Solution:

Let the two numbers be x and y.

According to the problem, we have:

x - y = 26 ...(1)

x = 3y ...(2)

Substitute equation (2) into equation (1):

3y - y = 26

2y = 26

⇒ y = 26 2 = 13

Substitute y = 13 into equation (2):

x = 3(13) = 39

Result:

Therefore, the two numbers are 39 and 13.

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