# 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

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.

#### 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
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Chapter 3: Pair of Linear Equations in Two Variables - Exercise 3.3 [Page 53]

#### APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.3 | Q 3.1 | Page 53

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