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# Solution - 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. - CBSE Class 10 - Mathematics

ConceptSubstitution Method

#### 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.

#### 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.

Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Textbook for Class 10 (with solutions)
Chapter 3: Pair of Linear Equations in Two Variables
Q: 3.1 | Page no. 53

#### Reference Material

Solution for 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. concept: null - Substitution Method. For the course CBSE
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